C-Algebra Extensions and K-Homology. (AM-95), Volume 95 / / Ronald G. Douglas
| C-Algebra Extensions and K-Homology. (AM-95), Volume 95 / / Ronald G. Douglas |
| Autore | Douglas Ronald G. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (94 pages) : illustrations |
| Disciplina | 512/.55 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
C*-algebras
K-theory Algebra, Homological |
| Soggetto non controllato |
Addition
Affine transformation Algebraic topology Atiyah–Singer index theorem Automorphism Banach algebra Bijection Boundary value problem Bundle map C*-algebra Calculation Cardinal number Category of abelian groups Characteristic class Chern class Clifford algebra Coefficient Cohomology Compact operator Completely positive map Contact geometry Continuous function Corollary Diagram (category theory) Diffeomorphism Differentiable manifold Differential operator Dimension (vector space) Dimension function Dimension Direct integral Direct proof Eigenvalues and eigenvectors Equivalence class Equivalence relation Essential spectrum Euler class Exact sequence Existential quantification Fiber bundle Finite group Fredholm operator Fredholm Free abelian group Fundamental class Fundamental group Hardy space Hermann Weyl Hilbert space Homological algebra Homology (mathematics) Homomorphism Homotopy Ideal (ring theory) Inner automorphism Irreducible representation K-group K-theory Lebesgue space Locally compact group Maximal compact subgroup Michael Atiyah Monomorphism Morphism Natural number Natural transformation Normal operator Operator algebra Operator norm Operator theory Orthogonal group Pairing Piecewise linear manifold Polynomial Pontryagin class Positive and negative parts Positive map Pseudo-differential operator Quaternion Quotient algebra Self-adjoint operator Self-adjoint Simply connected space Smooth structure Special case Stein manifold Strong topology Subalgebra Subgroup Subset Summation Tangent bundle Theorem Todd class Topology Torsion subgroup Unitary operator Universal coefficient theorem Variable (mathematics) Von Neumann algebra |
| ISBN | 1-4008-8146-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter 1. An Overview -- Chapter 2. Ext as a Group -- Chapter 3. Ext as a Homotopy Functor -- Chapter 4. Generalized Homology Theory and Periodicity -- Chapter 5. Ext as K-Homology -- Chapter 6. Index Theorems snd Novikov's Higher Signatures -- References -- Index -- Index of Symbols -- Backmatter |
| Record Nr. | UNINA-9910154752903321 |
Douglas Ronald G.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Lo trovi qui: Univ. Federico II | ||
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Finite Dimensional Vector Spaces. (AM-7), Volume 7 / / Paul R. Halmos
| Finite Dimensional Vector Spaces. (AM-7), Volume 7 / / Paul R. Halmos |
| Autore | Halmos Paul R (Paul Richard), <1916-2006, > |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (206 pages) |
| Disciplina | 512.52 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Transformations (Mathematics)
Generalized spaces |
| Soggetto non controllato |
Absolute value
Accuracy and precision Addition Affine space Algebraic closure Algebraic equation Algebraic operation Algebraically closed field Associative property Automorphism Axiom Banach space Basis (linear algebra) Bilinear form Bounded operator Cardinal number Cayley transform Characteristic equation Characterization (mathematics) Coefficient Commutative property Complex number Complex plane Computation Congruence relation Convex set Coordinate system Determinant Diagonal matrix Dimension (vector space) Dimension Dimensional analysis Direct product Direct proof Direct sum Division by zero Dot product Dual basis Eigenvalues and eigenvectors Elementary proof Equation Euclidean space Existential quantification Function of a real variable Functional calculus Fundamental theorem Geometry Gram–Schmidt process Hermitian matrix Hilbert space Infimum and supremum Jordan normal form Lebesgue integration Linear combination Linear function Linear independence Linear map Linear programming Linearity Manifold Mathematical induction Mathematics Minimal polynomial (field theory) Minor (linear algebra) Monomial Multiplication sign Natural number Nilpotent Normal matrix Normal operator Number theory Orthogonal basis Orthogonal complement Orthogonal coordinates Orthogonality Orthonormality Polynomial Quotient space (linear algebra) Quotient space (topology) Real number Real variable Scalar (physics) Scientific notation Series (mathematics) Set (mathematics) Sign (mathematics) Special case Spectral theorem Spectral theory Summation Tensor calculus Theorem Topology Transitive relation Unbounded operator Uncountable set Unit sphere Unitary transformation Variable (mathematics) Vector space |
| ISBN | 1-4008-8223-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | PREFACE -- TABLE OP CONTENTS -- ERRATA -- Chapter I. SPACES -- Chapter II. TRANSFORMATIONS -- Chapter III. ORTHOGONALITY -- APPENDIX I. THE CLASSICAL CANONICAL FORM -- APPENDIX II. DIRECT PRODUCTS -- APPENDIX III. HILBERT SPACE -- BIBLIOGRAPHY -- LIST OF NOTATIONS -- INDEX OF DEFINITIONS |
| Record Nr. | UNINA-9910154744503321 |
Halmos Paul R (Paul Richard), <1916-2006, >
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Lo trovi qui: Univ. Federico II | ||
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An Introduction to Linear Transformations in Hilbert Space. (AM-4), Volume 4 / / Francis Joseph Murray
| An Introduction to Linear Transformations in Hilbert Space. (AM-4), Volume 4 / / Francis Joseph Murray |
| Autore | Murray Francis Joseph |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (148 pages) |
| Disciplina | 512.86 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Transformations (Mathematics)
Hyperspace |
| Soggetto non controllato |
Additive function
Adjoint Affine space Axiom Banach space Boundary value problem Cartesian coordinate system Characteristic function (probability theory) Combination Commutative property Compact space Contradiction Coordinate system Corollary Countable set Differential operator Dimension (vector space) Effective method Equation Existential quantification Fourier transform Function (mathematics) Group algebra Hamiltonian mechanics Hamiltonian system Hilbert space Integral transform Jacobi matrix Lebesgue integration Limit point Linear combination Linear map Linear space (geometry) Mathematics Measure (mathematics) Metric space Moment problem Mutual exclusivity Necessity and sufficiency Normal operator Operational calculus Orthonormality Rational number Self-adjoint operator Self-adjoint Statistic Step function Subset Summation System of linear equations Theorem Topological group Topology Unit sphere Unitary transformation Vector space Weak convergence (Hilbert space) Weak convergence |
| ISBN | 1-4008-8226-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- PREFACE -- TABLE OF CONTENTS -- Chapter I. INTRODUCTION -- Chapter II. HILBERT SPACE -- Chapter III. REALIZATIONS OF HILBERT SPA -- Chapter IV. ADDITIVE AND CLOSED TRANSFORMATIONS -- Chapter V. WEAK CONVERGENCE -- Chapter VI. PROJECTIONS AND ISOMETRY -- Chapter VII . RESOLUTIONS OF THE IDENTITY -- Chapter VIII . BOUNDED SELF-ADJOINT AND UNITARY TRANSFORMATIONS -- Chapter IX. CANONICAL RESOLUTION AND INTEGRAL REPRESENTATIONS -- Chapter X. SYMMETRIC OPERATORS -- Chapter XI. REFERENCES TO FURTHER DEVELOPMENTS -- Chapter XII. REFERENCES TO APPLICATIONS -- REFERENCES |
| Record Nr. | UNINA-9910154747903321 |
Murray Francis Joseph
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Lo trovi qui: Univ. Federico II | ||
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