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Random sets and invariants for (type II) continuous tensor product systems of Hilbert spaces / / Volkmar Liebscher
| Random sets and invariants for (type II) continuous tensor product systems of Hilbert spaces / / Volkmar Liebscher |
| Autore | Liebscher Volkmar <1965-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2009 |
| Descrizione fisica | 1 online resource (124 p.) |
| Disciplina | 515/.733 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Hilbert space
Random sets Invariants Calculus of tensors |
| ISBN | 1-4704-0536-9 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Basics""; ""Chapter 3. From Product Systems to Random Sets""; ""3.1. Product Systems""; ""3.2. Random Sets in Product Systems""; ""3.3. Measure Types as Invariants""; ""3.4. Measure Types Related to Units""; ""3.5. Tensor Products (I)""; ""Chapter 4. From Random Sets to Product Systems""; ""4.1. General Theory""; ""4.2. Example 1: Finite Random Sets""; ""4.3. Example 2: Countable Random Sets""; ""4.4. Example 3: Random Cantor Sets""; ""4.5. Tensor Products (II)""; ""4.6. The map e [omitted] M[sup(e,u)] is surjective""
""Chapter 5. An Hierarchy of Random Sets""""5.1. Factorising Projections and Product Subsystems""; ""5.2. Subsystems of e[sup(M)]""; ""5.3. The Lattice of Stationary Factorising Measure Types""; ""Chapter 6. Direct Integral Representations""; ""6.1. Random Sets and Direct Integrals""; ""6.2. Direct Integrals in Product Systems""; ""6.3. Characterisations of Type I Product Systems""; ""6.4. Unitalising Type III Product Systems""; ""Chapter 7. Measurability in Product Systems: An Algebraic Approach""; ""7.1. GNS-representations"" ""7.2. Algebraic Product Systems and Intrinsic Measurable Structures""""7.3. Product Systems of W*-Algebras""; ""7.4. Product systems and Unitary Evolutions""; ""7.5. Additional Results on Measurability""; ""Chapter 8. Construction of Product Systems from General Measure Types""; ""8.1. General Results""; ""8.2. Product Systems from Random Sets""; ""8.3. Product Systems from Random Measures""; ""8.4. Product Systems from Random Increment Processes""; ""Chapter 9. Beyond Separability: Random Bisets""; ""Chapter 10. An Algebraic Invariant of Product Systems"" ""Chapter 11. Conclusions and Outlook""""Bibliography"" |
| Record Nr. | UNINA-9910788854503321 |
Liebscher Volkmar <1965->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Random sets and invariants for (type II) continuous tensor product systems of Hilbert spaces / / Volkmar Liebscher
| Random sets and invariants for (type II) continuous tensor product systems of Hilbert spaces / / Volkmar Liebscher |
| Autore | Liebscher Volkmar <1965-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2009 |
| Descrizione fisica | 1 online resource (124 p.) |
| Disciplina | 515/.733 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Hilbert space
Random sets Invariants Calculus of tensors |
| ISBN | 1-4704-0536-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Basics""; ""Chapter 3. From Product Systems to Random Sets""; ""3.1. Product Systems""; ""3.2. Random Sets in Product Systems""; ""3.3. Measure Types as Invariants""; ""3.4. Measure Types Related to Units""; ""3.5. Tensor Products (I)""; ""Chapter 4. From Random Sets to Product Systems""; ""4.1. General Theory""; ""4.2. Example 1: Finite Random Sets""; ""4.3. Example 2: Countable Random Sets""; ""4.4. Example 3: Random Cantor Sets""; ""4.5. Tensor Products (II)""; ""4.6. The map e [omitted] M[sup(e,u)] is surjective""
""Chapter 5. An Hierarchy of Random Sets""""5.1. Factorising Projections and Product Subsystems""; ""5.2. Subsystems of e[sup(M)]""; ""5.3. The Lattice of Stationary Factorising Measure Types""; ""Chapter 6. Direct Integral Representations""; ""6.1. Random Sets and Direct Integrals""; ""6.2. Direct Integrals in Product Systems""; ""6.3. Characterisations of Type I Product Systems""; ""6.4. Unitalising Type III Product Systems""; ""Chapter 7. Measurability in Product Systems: An Algebraic Approach""; ""7.1. GNS-representations"" ""7.2. Algebraic Product Systems and Intrinsic Measurable Structures""""7.3. Product Systems of W*-Algebras""; ""7.4. Product systems and Unitary Evolutions""; ""7.5. Additional Results on Measurability""; ""Chapter 8. Construction of Product Systems from General Measure Types""; ""8.1. General Results""; ""8.2. Product Systems from Random Sets""; ""8.3. Product Systems from Random Measures""; ""8.4. Product Systems from Random Increment Processes""; ""Chapter 9. Beyond Separability: Random Bisets""; ""Chapter 10. An Algebraic Invariant of Product Systems"" ""Chapter 11. Conclusions and Outlook""""Bibliography"" |
| Record Nr. | UNINA-9910829176703321 |
|
Liebscher Volkmar <1965->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Semi-Riemannian geometry [[electronic resource] ] : with applications to relativity / / Barrett O'Neill
| Semi-Riemannian geometry [[electronic resource] ] : with applications to relativity / / Barrett O'Neill |
| Autore | O'Neill Barrett |
| Pubbl/distr/stampa | New York, : Academic Press, 1983 |
| Descrizione fisica | 1 online resource (483 p.) |
| Disciplina |
510 s 516.3/73 19
510 s516.373 516.373 |
| Collana | Pure and applied mathematics |
| Soggetto topico |
Geometry, Riemannian
Manifolds (Mathematics) Calculus of tensors Relativity (Physics) |
| ISBN |
1-281-76876-6
9786611768768 0-08-057057-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Front Cover; SEMI-RIEMANNIAN GEOMETRY; Copyright Page; CONTENTS; Preface; Notation and Terminology; CHAPTER 1. MANIFOLD THEORY; Smooth Manifolds; Smooth Mappings; Tangent Vectors; Differential Maps; Curves; Vector Fields; One-Forms; Submanifolds; Immersions and Submersions; Topology of Manifolds; Some Special Manifolds; Integral Curves; CHAPTER 2. TENSORS; Basic Algebra; Tensor Fields; Interpretations; Tensors at a Point; Tensor Components; Contraction; Covariant Tensors; Tensor Derivations; Symmetric Bilinear Forms; Scalar Products; CHAPTER 3. SEMI-RIEMANNIAN MANIFOLDS; Isometries
The Levi-Civita ConnectionParallel Translation; Geodesics; The Exponential Map; Curvature; Sectional Curvature; Semi-Riemannian Surfaces; Type-Changing and Metric Contraction; Frame Fields; Some Differential Operators; Ricci and Scalar Curvature; Semi-Riemannian Product Manifolds; Local Isometries; Levels of Structure; CHAPTER 4. SEMI-RIEMANNIAN SUBMANIFOLDS; Tangents and Normals; The Induced Connection; Geodesics in Submanifolds; Totally Geodesic Submanifolds; Semi-Riemannian Hypersurfaces; Hyperquadrics; The Codazzi Equation; Totally Umbilic Hypersurfaces; The Normal Connection A Congruence TheoremIsometric Immersions; Two-Parameter Maps; CHAPTER 5. RIEMANNIAN AND LORENTZ GEOMETRY; The Gauss Lemma; Convex Open Sets; Arc Length; Riemannian Distance; Riemannian Completeness; Lorentz Causal Character; Timecones; Local Lorentz Geometry; Geodesics in Hyperquadrics; Geodesics in Surfaces; Completeness and Extendibility; CHAPTER 6. SPECIAL RELATIVITY; Newtonian Space and Time; Newtonian Space-Time; Minkowski Spacetime; Minkowski Geometry; Particles Observed; Some Relativistic Effects; Lorentz-Fitzgerald Contraction; Energy-Momentum; Collisions; An Accelerating Observer CHAPTER 7. CONSTRUCTIONSDeck Transformations; Orbit Manifolds; Orientability; Semi-Riemannian Coverings; Lorentz Time-Orientability; Volume Elements; Vector Bundles; Local Isometries; Matched Coverings; Warped Products; Warped Product Geodesics; Curvature of Warped Products; Semi-Riemannian Submersions; CHAPTER 8. SYMMETRY AND CONSTANT CURVATURE; Jacobi Fields; Tidal Forces; Locally Symmetric Manifolds; Isometries of Normal Neighborhoods; Symmetric Spaces; Simply Connected Space Forms; Transvections; CHAPTER 9. ISOMETRIES; Semiorthogonal Groups; Some Isometry Groups Time-Orientability and Space-OrientabilityLinear Algebra; Space Forms; Killing Vector Fields; The Lie Algebra i(M); I( M ) as Lie Group; Homogeneous Spaces; CHAPTER 10. CALCULUS OF VARIATIONS; First Variation; Second Variation; The Index Form; Conjugate Points; Local Minima and Maxima; Some Global Consequences; The Endmanifold Case; Focal Points; Applications; Variation of E; Focal Points along Null Geodesics; A Causality Theorem; CHAPTER 11. HOMOGENEOUS AND SYMMETRIC SPACES; More about Lie Groups; Bi-Invariant Metrics; Coset Manifolds; Reductive Homogeneous Spaces; Symmetric Spaces Riemannian Symmetric Spaces |
| Record Nr. | UNINA-9910782496103321 |
|
O'Neill Barrett
|
||
| New York, : Academic Press, 1983 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Semi-Riemannian geometry [[electronic resource] ] : with applications to relativity / / Barrett O'Neill
| Semi-Riemannian geometry [[electronic resource] ] : with applications to relativity / / Barrett O'Neill |
| Autore | O'Neill Barrett |
| Pubbl/distr/stampa | New York, : Academic Press, 1983 |
| Descrizione fisica | 1 online resource (483 p.) |
| Disciplina |
510 s 516.3/73 19
510 s516.373 516.373 |
| Collana | Pure and applied mathematics |
| Soggetto topico |
Geometry, Riemannian
Manifolds (Mathematics) Calculus of tensors Relativity (Physics) |
| ISBN |
1-281-76876-6
9786611768768 0-08-057057-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Front Cover; SEMI-RIEMANNIAN GEOMETRY; Copyright Page; CONTENTS; Preface; Notation and Terminology; CHAPTER 1. MANIFOLD THEORY; Smooth Manifolds; Smooth Mappings; Tangent Vectors; Differential Maps; Curves; Vector Fields; One-Forms; Submanifolds; Immersions and Submersions; Topology of Manifolds; Some Special Manifolds; Integral Curves; CHAPTER 2. TENSORS; Basic Algebra; Tensor Fields; Interpretations; Tensors at a Point; Tensor Components; Contraction; Covariant Tensors; Tensor Derivations; Symmetric Bilinear Forms; Scalar Products; CHAPTER 3. SEMI-RIEMANNIAN MANIFOLDS; Isometries
The Levi-Civita ConnectionParallel Translation; Geodesics; The Exponential Map; Curvature; Sectional Curvature; Semi-Riemannian Surfaces; Type-Changing and Metric Contraction; Frame Fields; Some Differential Operators; Ricci and Scalar Curvature; Semi-Riemannian Product Manifolds; Local Isometries; Levels of Structure; CHAPTER 4. SEMI-RIEMANNIAN SUBMANIFOLDS; Tangents and Normals; The Induced Connection; Geodesics in Submanifolds; Totally Geodesic Submanifolds; Semi-Riemannian Hypersurfaces; Hyperquadrics; The Codazzi Equation; Totally Umbilic Hypersurfaces; The Normal Connection A Congruence TheoremIsometric Immersions; Two-Parameter Maps; CHAPTER 5. RIEMANNIAN AND LORENTZ GEOMETRY; The Gauss Lemma; Convex Open Sets; Arc Length; Riemannian Distance; Riemannian Completeness; Lorentz Causal Character; Timecones; Local Lorentz Geometry; Geodesics in Hyperquadrics; Geodesics in Surfaces; Completeness and Extendibility; CHAPTER 6. SPECIAL RELATIVITY; Newtonian Space and Time; Newtonian Space-Time; Minkowski Spacetime; Minkowski Geometry; Particles Observed; Some Relativistic Effects; Lorentz-Fitzgerald Contraction; Energy-Momentum; Collisions; An Accelerating Observer CHAPTER 7. CONSTRUCTIONSDeck Transformations; Orbit Manifolds; Orientability; Semi-Riemannian Coverings; Lorentz Time-Orientability; Volume Elements; Vector Bundles; Local Isometries; Matched Coverings; Warped Products; Warped Product Geodesics; Curvature of Warped Products; Semi-Riemannian Submersions; CHAPTER 8. SYMMETRY AND CONSTANT CURVATURE; Jacobi Fields; Tidal Forces; Locally Symmetric Manifolds; Isometries of Normal Neighborhoods; Symmetric Spaces; Simply Connected Space Forms; Transvections; CHAPTER 9. ISOMETRIES; Semiorthogonal Groups; Some Isometry Groups Time-Orientability and Space-OrientabilityLinear Algebra; Space Forms; Killing Vector Fields; The Lie Algebra i(M); I( M ) as Lie Group; Homogeneous Spaces; CHAPTER 10. CALCULUS OF VARIATIONS; First Variation; Second Variation; The Index Form; Conjugate Points; Local Minima and Maxima; Some Global Consequences; The Endmanifold Case; Focal Points; Applications; Variation of E; Focal Points along Null Geodesics; A Causality Theorem; CHAPTER 11. HOMOGENEOUS AND SYMMETRIC SPACES; More about Lie Groups; Bi-Invariant Metrics; Coset Manifolds; Reductive Homogeneous Spaces; Symmetric Spaces Riemannian Symmetric Spaces |
| Record Nr. | UNINA-9910825965103321 |
|
O'Neill Barrett
|
||
| New York, : Academic Press, 1983 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Semi-riemannian geometry : with applications to relativity / Barrett O'Neil
| Semi-riemannian geometry : with applications to relativity / Barrett O'Neil |
| Autore | O'Neill, Barrett |
| Pubbl/distr/stampa | Orlando : Academic Press, 1983 |
| Descrizione fisica | 468 p. ; 23 cm |
| Disciplina | 516.373 |
| Collana | Pure and applied mathematics. A series of monographs & textbooks [Academic Press], 0079-8169 ; 103 |
| Soggetto topico |
Calculus of tensors
Manifolds Relativity theory Riemannian geometry |
| ISBN | 0125267401 |
| Classificazione |
AMS 53B
AMS 70G05 AMS 83C QA649 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001325609707536 |
|
O'Neill, Barrett
|
||
| Orlando : Academic Press, 1983 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Semi-riemannian geometry : with applications to relativity / Barrett O'Neill
| Semi-riemannian geometry : with applications to relativity / Barrett O'Neill |
| Autore | O'Neill, Barrett |
| Pubbl/distr/stampa | New York : Academic Press, Inc., c1983 |
| Descrizione fisica | xiii, 468 p. ; 24 cm |
| Collana | Pure and applied mathematics ; 103 |
| Soggetto topico | Calculus of tensors |
| ISBN | 0125267401 |
| Classificazione |
53.1.5
510 510.53 QA3.P8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001235639707536 |
|
O'Neill, Barrett
|
||
| New York : Academic Press, Inc., c1983 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
The special theory of relativity / J. Aharoni
| The special theory of relativity / J. Aharoni |
| Autore | Aharoni, J. |
| Edizione | [2nd ed.] |
| Pubbl/distr/stampa | London : Oxford University Press |
| Descrizione fisica | x, 331 p. : ill. ; 24 cm. |
| Soggetto topico | Calculus of tensors |
| Classificazione |
53.1.51
530.11 QC6.A38 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001254789707536 |
|
Aharoni, J.
|
||
| London : Oxford University Press | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Tensor analysis [[electronic resource] /] / Leonid P. Lebedev, Michael J. Cloud
| Tensor analysis [[electronic resource] /] / Leonid P. Lebedev, Michael J. Cloud |
| Autore | Lebedev L. P |
| Pubbl/distr/stampa | River Edge, NJ, : World Scientific Pub., c2003 |
| Descrizione fisica | 1 online resource (203 p.) |
| Disciplina | 515/.63 |
| Altri autori (Persone) | CloudMichael J |
| Soggetto topico | Calculus of tensors |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-87685-2
9786611876852 981-256-446-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Foreword; Preface; Contents; Chapter 1 Preliminaries; Chapter 2 Transformations and Vectors; Chapter 3 Tensors; Chapter 4 Tensor Fields; Chapter 5 Elements of Differential Geometry; Appendix A Formulary; Appendix B Hints and Answers; Bibliography; Index |
| Record Nr. | UNINA-9910449888303321 |
|
Lebedev L. P
|
||
| River Edge, NJ, : World Scientific Pub., c2003 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Tensor analysis [[electronic resource] /] / Leonid P. Lebedev, Michael J. Cloud
| Tensor analysis [[electronic resource] /] / Leonid P. Lebedev, Michael J. Cloud |
| Autore | Lebedev L. P |
| Pubbl/distr/stampa | River Edge, NJ, : World Scientific Pub., c2003 |
| Descrizione fisica | 1 online resource (203 p.) |
| Disciplina | 515/.63 |
| Altri autori (Persone) | CloudMichael J |
| Soggetto topico | Calculus of tensors |
| ISBN |
1-281-87685-2
9786611876852 981-256-446-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Foreword; Preface; Contents; Chapter 1 Preliminaries; Chapter 2 Transformations and Vectors; Chapter 3 Tensors; Chapter 4 Tensor Fields; Chapter 5 Elements of Differential Geometry; Appendix A Formulary; Appendix B Hints and Answers; Bibliography; Index |
| Record Nr. | UNINA-9910783225703321 |
|
Lebedev L. P
|
||
| River Edge, NJ, : World Scientific Pub., c2003 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Tensor analysis [[electronic resource] /] / Leonid P. Lebedev, Michael J. Cloud
| Tensor analysis [[electronic resource] /] / Leonid P. Lebedev, Michael J. Cloud |
| Autore | Lebedev L. P |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | River Edge, NJ, : World Scientific Pub., c2003 |
| Descrizione fisica | 1 online resource (203 p.) |
| Disciplina | 515/.63 |
| Altri autori (Persone) | CloudMichael J |
| Soggetto topico | Calculus of tensors |
| ISBN |
1-281-87685-2
9786611876852 981-256-446-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Foreword; Preface; Contents; Chapter 1 Preliminaries; Chapter 2 Transformations and Vectors; Chapter 3 Tensors; Chapter 4 Tensor Fields; Chapter 5 Elements of Differential Geometry; Appendix A Formulary; Appendix B Hints and Answers; Bibliography; Index |
| Record Nr. | UNINA-9910808922703321 |
|
Lebedev L. P
|
||
| River Edge, NJ, : World Scientific Pub., c2003 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
