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Charting the operator terrain / / John Ernest
| Charting the operator terrain / / John Ernest |
| Autore | Ernest John <1935-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1976] |
| Descrizione fisica | 1 online resource (216 p.) |
| Disciplina | 515/.72 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Linear operators
Spectral theory (Mathematics) |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0755-8 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""TABLE OF CONTENTS""; ""INTRODUCTION""; ""CHAPTER 1 EQUIVALENCE RELATIONS AND CLASSIFICATION THEORY""; ""1. Quasi-equivalence""; ""2. Von Neumann classification of operators, in operator theoretic terms""; ""3. The bridge between operators and operator algebras""; ""4. Multiplicity theory for factor operators""; ""5. Weak containment and weak equivalence for operators""; ""6. Smooth operators""; ""7. The envelope of an operator""; ""CHAPTER 2 THE SPECTRUM AND QUASI-SPECTRUM OF AN OPERATOR""; ""1. The * - strong operator topology and its associated Borel structure""
""2. The concrete dual of an operator""""3. The spectrum and quasi-spectrum of an operator""; ""4. Some spectral theory""; ""5. The topology on the spectrum""; ""CHAPTER 3 DECOMPOSITION THEORY""; ""1. The central decomposition""; ""2. The central measure lattice""; ""3. Multiplicity and the central decomposition""; ""CHAPTER 4 SPECTRAL MULTIPLICITY THEORY AND THE UNITARY EQUIVALENCE PROBLEM FOR OPERATORS""; ""CHAPTER 5 APPLICATIONS, EXAMPLES AND OPEN QUESTIONS""; ""1. Smooth operators""; ""2. Normal operators and spectral measures""; ""3. Binormal operators""; ""4. Trinormal operators"" ""5. Quasinormal operators""""6. Direct sum decompositions""; ""7. Some research proposals""; ""REFERENCES""; ""NOTATION INDEX""; ""INDEX""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I""; ""J""; ""K""; ""L""; ""M""; ""N""; ""O""; ""P""; ""Q""; ""R""; ""S""; ""T""; ""U""; ""V""; ""W"" |
| Record Nr. | UNINA-9910480021403321 |
Ernest John <1935->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1976] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Charting the operator terrain / / John Ernest
| Charting the operator terrain / / John Ernest |
| Autore | Ernest John <1935-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1976] |
| Descrizione fisica | 1 online resource (216 p.) |
| Disciplina | 515/.72 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Linear operators
Spectral theory (Mathematics) |
| ISBN | 1-4704-0755-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""TABLE OF CONTENTS""; ""INTRODUCTION""; ""CHAPTER 1 EQUIVALENCE RELATIONS AND CLASSIFICATION THEORY""; ""1. Quasi-equivalence""; ""2. Von Neumann classification of operators, in operator theoretic terms""; ""3. The bridge between operators and operator algebras""; ""4. Multiplicity theory for factor operators""; ""5. Weak containment and weak equivalence for operators""; ""6. Smooth operators""; ""7. The envelope of an operator""; ""CHAPTER 2 THE SPECTRUM AND QUASI-SPECTRUM OF AN OPERATOR""; ""1. The * - strong operator topology and its associated Borel structure""
""2. The concrete dual of an operator""""3. The spectrum and quasi-spectrum of an operator""; ""4. Some spectral theory""; ""5. The topology on the spectrum""; ""CHAPTER 3 DECOMPOSITION THEORY""; ""1. The central decomposition""; ""2. The central measure lattice""; ""3. Multiplicity and the central decomposition""; ""CHAPTER 4 SPECTRAL MULTIPLICITY THEORY AND THE UNITARY EQUIVALENCE PROBLEM FOR OPERATORS""; ""CHAPTER 5 APPLICATIONS, EXAMPLES AND OPEN QUESTIONS""; ""1. Smooth operators""; ""2. Normal operators and spectral measures""; ""3. Binormal operators""; ""4. Trinormal operators"" ""5. Quasinormal operators""""6. Direct sum decompositions""; ""7. Some research proposals""; ""REFERENCES""; ""NOTATION INDEX""; ""INDEX""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I""; ""J""; ""K""; ""L""; ""M""; ""N""; ""O""; ""P""; ""Q""; ""R""; ""S""; ""T""; ""U""; ""V""; ""W"" |
| Record Nr. | UNINA-9910788607803321 |
|
Ernest John <1935->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1976] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Charting the operator terrain / / John Ernest
| Charting the operator terrain / / John Ernest |
| Autore | Ernest John <1935-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1976] |
| Descrizione fisica | 1 online resource (216 p.) |
| Disciplina | 515/.72 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Linear operators
Spectral theory (Mathematics) |
| ISBN | 1-4704-0755-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""TABLE OF CONTENTS""; ""INTRODUCTION""; ""CHAPTER 1 EQUIVALENCE RELATIONS AND CLASSIFICATION THEORY""; ""1. Quasi-equivalence""; ""2. Von Neumann classification of operators, in operator theoretic terms""; ""3. The bridge between operators and operator algebras""; ""4. Multiplicity theory for factor operators""; ""5. Weak containment and weak equivalence for operators""; ""6. Smooth operators""; ""7. The envelope of an operator""; ""CHAPTER 2 THE SPECTRUM AND QUASI-SPECTRUM OF AN OPERATOR""; ""1. The * - strong operator topology and its associated Borel structure""
""2. The concrete dual of an operator""""3. The spectrum and quasi-spectrum of an operator""; ""4. Some spectral theory""; ""5. The topology on the spectrum""; ""CHAPTER 3 DECOMPOSITION THEORY""; ""1. The central decomposition""; ""2. The central measure lattice""; ""3. Multiplicity and the central decomposition""; ""CHAPTER 4 SPECTRAL MULTIPLICITY THEORY AND THE UNITARY EQUIVALENCE PROBLEM FOR OPERATORS""; ""CHAPTER 5 APPLICATIONS, EXAMPLES AND OPEN QUESTIONS""; ""1. Smooth operators""; ""2. Normal operators and spectral measures""; ""3. Binormal operators""; ""4. Trinormal operators"" ""5. Quasinormal operators""""6. Direct sum decompositions""; ""7. Some research proposals""; ""REFERENCES""; ""NOTATION INDEX""; ""INDEX""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I""; ""J""; ""K""; ""L""; ""M""; ""N""; ""O""; ""P""; ""Q""; ""R""; ""S""; ""T""; ""U""; ""V""; ""W"" |
| Record Nr. | UNINA-9910828120803321 |
|
Ernest John <1935->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1976] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Extension theory of formally normal and symmetric subspaces / / [by] Earl A. Coddington
| Extension theory of formally normal and symmetric subspaces / / [by] Earl A. Coddington |
| Autore | Coddington Earl A. <1920-1991, > |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , 1973 |
| Descrizione fisica | 1 online resource (87 p.) |
| Disciplina | 515/.72 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Linear operators
Differential operators Hilbert space |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-8218-9933-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Table of Contents""; ""Introduction""; ""I. Formally normal and symmetric subspaces""; ""1. Linear relations and subspaces""; ""2. Formally normal and normal subspaces""; ""3. Symmetric and self-adjoint subspaces""; ""II. Extensions of formally normal and symmetric subspaces""; ""1. Formally normal and normal extensions of a formally normal subspace""; ""2. Symmetric and self-adjoint extensions of a symmetric subspace""; ""3. The Friedrichs extension of a semibounded symmetric subspace""; ""4. An example""
""III. Extensions of formally normal and symmetric subspaces in larger Hilbert spaces""""1. Normal extensions of a formally normal subspace in larger Hilbert spaces""; ""2. Self-adjoint extensions of a symmetric subspace in larger Hilbert spaces""; ""IV. Applications""; ""1. Extensions of non-densely defined operators""; ""2. Subspaces of an orthogonal sum of two Hilbert spaces""; ""3. Subspaces generated by pairs of symmetric operators""; ""References"" |
| Record Nr. | UNINA-9910480704603321 |
|
Coddington Earl A. <1920-1991, >
|
||
| Providence : , : American Mathematical Society, , 1973 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Extension theory of formally normal and symmetric subspaces / / [by] Earl A. Coddington
| Extension theory of formally normal and symmetric subspaces / / [by] Earl A. Coddington |
| Autore | Coddington Earl A. <1920-1991, > |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , 1973 |
| Descrizione fisica | 1 online resource (87 p.) |
| Disciplina | 515/.72 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Linear operators
Differential operators Hilbert space |
| ISBN | 0-8218-9933-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Table of Contents""; ""Introduction""; ""I. Formally normal and symmetric subspaces""; ""1. Linear relations and subspaces""; ""2. Formally normal and normal subspaces""; ""3. Symmetric and self-adjoint subspaces""; ""II. Extensions of formally normal and symmetric subspaces""; ""1. Formally normal and normal extensions of a formally normal subspace""; ""2. Symmetric and self-adjoint extensions of a symmetric subspace""; ""3. The Friedrichs extension of a semibounded symmetric subspace""; ""4. An example""
""III. Extensions of formally normal and symmetric subspaces in larger Hilbert spaces""""1. Normal extensions of a formally normal subspace in larger Hilbert spaces""; ""2. Self-adjoint extensions of a symmetric subspace in larger Hilbert spaces""; ""IV. Applications""; ""1. Extensions of non-densely defined operators""; ""2. Subspaces of an orthogonal sum of two Hilbert spaces""; ""3. Subspaces generated by pairs of symmetric operators""; ""References"" |
| Record Nr. | UNINA-9910788615003321 |
|
Coddington Earl A. <1920-1991, >
|
||
| Providence : , : American Mathematical Society, , 1973 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Extension theory of formally normal and symmetric subspaces / / [by] Earl A. Coddington
| Extension theory of formally normal and symmetric subspaces / / [by] Earl A. Coddington |
| Autore | Coddington Earl A. <1920-1991, > |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , 1973 |
| Descrizione fisica | 1 online resource (87 p.) |
| Disciplina | 515/.72 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Linear operators
Differential operators Hilbert space |
| ISBN | 0-8218-9933-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Table of Contents""; ""Introduction""; ""I. Formally normal and symmetric subspaces""; ""1. Linear relations and subspaces""; ""2. Formally normal and normal subspaces""; ""3. Symmetric and self-adjoint subspaces""; ""II. Extensions of formally normal and symmetric subspaces""; ""1. Formally normal and normal extensions of a formally normal subspace""; ""2. Symmetric and self-adjoint extensions of a symmetric subspace""; ""3. The Friedrichs extension of a semibounded symmetric subspace""; ""4. An example""
""III. Extensions of formally normal and symmetric subspaces in larger Hilbert spaces""""1. Normal extensions of a formally normal subspace in larger Hilbert spaces""; ""2. Self-adjoint extensions of a symmetric subspace in larger Hilbert spaces""; ""IV. Applications""; ""1. Extensions of non-densely defined operators""; ""2. Subspaces of an orthogonal sum of two Hilbert spaces""; ""3. Subspaces generated by pairs of symmetric operators""; ""References"" |
| Record Nr. | UNINA-9910811752903321 |
|
Coddington Earl A. <1920-1991, >
|
||
| Providence : , : American Mathematical Society, , 1973 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Factorization and model theory for contraction operators with unitary part / / Joseph A. Ball
| Factorization and model theory for contraction operators with unitary part / / Joseph A. Ball |
| Autore | Ball Joseph A. <1947-> |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , [1978] |
| Descrizione fisica | 1 online resource (78 p.) |
| Disciplina | 515/.72 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Contraction operators
Factorization of operators Model theory Hilbert space |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0203-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Table of Contents""; ""Introduction""; ""1. Function models for completely nonunitary contractions""; ""2. Function models for unitary operators""; ""3. Factorization and invariant subspaces""; ""4. Operator nodes and characteristic functions""; ""5. Factorization of nodes and invariant subspaces""; ""6. Spectral invariants for T[sub(u)]""; ""7. A perturbation problem: the operator L = U(I-L[sub(0)])""; ""8. Multiplicity theory for U""; ""9. Comparison of U[sub(ac)] with L[sub(u)]""; ""10. Concluding remarks""; ""References"" |
| Record Nr. | UNINA-9910480017403321 |
|
Ball Joseph A. <1947->
|
||
| Providence : , : American Mathematical Society, , [1978] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Factorization and model theory for contraction operators with unitary part / / Joseph A. Ball
| Factorization and model theory for contraction operators with unitary part / / Joseph A. Ball |
| Autore | Ball Joseph A. <1947-> |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , [1978] |
| Descrizione fisica | 1 online resource (78 p.) |
| Disciplina | 515/.72 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Contraction operators
Factorization of operators Model theory Hilbert space |
| ISBN | 1-4704-0203-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Table of Contents""; ""Introduction""; ""1. Function models for completely nonunitary contractions""; ""2. Function models for unitary operators""; ""3. Factorization and invariant subspaces""; ""4. Operator nodes and characteristic functions""; ""5. Factorization of nodes and invariant subspaces""; ""6. Spectral invariants for T[sub(u)]""; ""7. A perturbation problem: the operator L = U(I-L[sub(0)])""; ""8. Multiplicity theory for U""; ""9. Comparison of U[sub(ac)] with L[sub(u)]""; ""10. Concluding remarks""; ""References"" |
| Record Nr. | UNINA-9910788889303321 |
|
Ball Joseph A. <1947->
|
||
| Providence : , : American Mathematical Society, , [1978] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Factorization and model theory for contraction operators with unitary part / / Joseph A. Ball
| Factorization and model theory for contraction operators with unitary part / / Joseph A. Ball |
| Autore | Ball Joseph A. <1947-> |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , [1978] |
| Descrizione fisica | 1 online resource (78 p.) |
| Disciplina | 515/.72 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Contraction operators
Factorization of operators Model theory Hilbert space |
| ISBN | 1-4704-0203-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Table of Contents""; ""Introduction""; ""1. Function models for completely nonunitary contractions""; ""2. Function models for unitary operators""; ""3. Factorization and invariant subspaces""; ""4. Operator nodes and characteristic functions""; ""5. Factorization of nodes and invariant subspaces""; ""6. Spectral invariants for T[sub(u)]""; ""7. A perturbation problem: the operator L = U(I-L[sub(0)])""; ""8. Multiplicity theory for U""; ""9. Comparison of U[sub(ac)] with L[sub(u)]""; ""10. Concluding remarks""; ""References"" |
| Record Nr. | UNINA-9910828121803321 |
|
Ball Joseph A. <1947->
|
||
| Providence : , : American Mathematical Society, , [1978] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
A functional calculus for subnormal operators II / / John B. Conway and Robert F. Olin
| A functional calculus for subnormal operators II / / John B. Conway and Robert F. Olin |
| Autore | Conway John B. |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , [1977] |
| Descrizione fisica | 1 online resource (72 p.) |
| Disciplina | 515/.72 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Subnormal operators
Functional analysis |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0050-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910480033403321 |
|
Conway John B.
|
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| Providence : , : American Mathematical Society, , [1977] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
