Basic Operator Theory:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Birkhäuser Boston
2001
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | rii application of linear operators on a Hilbert space. We begin with a chapter on the geometry of Hilbert space and then proceed to the spectral theory of compact self adjoint operators; operational calculus is next presented as a natural outgrowth of the spectral theory. The second part of the text concentrates on Banach spaces and linear operators acting on these spaces. It includes, for example, the three basic principles of linear analysis and the RieszFredholm theory of compact operators. Both parts contain plenty of applications. All chapters deal exclusively with linear problems, except for the last chapter which is an introduction to the theory of nonlinear operators. In addition to the standard topics in functional analysis, we have presented relatively recent results which appear, for example, in Chapter VII. In general, in writing this book, the authors were strongly influenced by recent developments in operator theory which affected the choice of topics, proofs and exercises. One of the main features of this book is the large number of new exercises chosen to expand the reader's comprehension of the material, and to train him or her in the use of it. In the beginning portion of the book we offer a large selection of computational exercises; later, the proportion of exercises dealing with theoretical questions increases. We have, however, omitted exercises after Chapters V, VII and XII due to the specialized nature of the subject matter |
| Beschreibung: | 1 Online-Ressource (XIII, 304p. 3 illus) |
| ISBN: | 9781461259855 9780817642624 |
| DOI: | 10.1007/978-1-4612-5985-5 |
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Datensatz im Suchindex
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| any_adam_object | |
| author | Gohberg, Yiśrāʿēl Z. 1928-2009 |
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| discipline | Mathematik |
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| id | DE-604.BV042420444 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:06Z |
| institution | BVB |
| isbn | 9781461259855 9780817642624 |
| language | English |
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| spelling | Gohberg, Yiśrāʿēl Z. 1928-2009 Verfasser (DE-588)118915878 aut Basic Operator Theory by Israel Gohberg, Seymour Goldberg Boston, MA Birkhäuser Boston 2001 1 Online-Ressource (XIII, 304p. 3 illus) txt rdacontent c rdamedia cr rdacarrier rii application of linear operators on a Hilbert space. We begin with a chapter on the geometry of Hilbert space and then proceed to the spectral theory of compact self adjoint operators; operational calculus is next presented as a natural outgrowth of the spectral theory. The second part of the text concentrates on Banach spaces and linear operators acting on these spaces. It includes, for example, the three basic principles of linear analysis and the RieszFredholm theory of compact operators. Both parts contain plenty of applications. All chapters deal exclusively with linear problems, except for the last chapter which is an introduction to the theory of nonlinear operators. In addition to the standard topics in functional analysis, we have presented relatively recent results which appear, for example, in Chapter VII. In general, in writing this book, the authors were strongly influenced by recent developments in operator theory which affected the choice of topics, proofs and exercises. One of the main features of this book is the large number of new exercises chosen to expand the reader's comprehension of the material, and to train him or her in the use of it. In the beginning portion of the book we offer a large selection of computational exercises; later, the proportion of exercises dealing with theoretical questions increases. We have, however, omitted exercises after Chapters V, VII and XII due to the specialized nature of the subject matter Mathematics Functional analysis Operator theory Engineering mathematics Operator Theory Functional Analysis Applications of Mathematics Appl.Mathematics/Computational Methods of Engineering Mathematik Funktionalanalysis (DE-588)4018916-8 gnd rswk-swf Operatortheorie (DE-588)4075665-8 gnd rswk-swf Linearer Operator (DE-588)4167721-3 gnd rswk-swf Operator (DE-588)4130529-2 gnd rswk-swf Linearer Operator (DE-588)4167721-3 s 1\p DE-604 Operatortheorie (DE-588)4075665-8 s 2\p DE-604 Funktionalanalysis (DE-588)4018916-8 s 3\p DE-604 Operator (DE-588)4130529-2 s 4\p DE-604 Goldberg, Seymour 1928- Sonstige (DE-588)128510900 oth https://doi.org/10.1007/978-1-4612-5985-5 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Gohberg, Yiśrāʿēl Z. 1928-2009 Basic Operator Theory Mathematics Functional analysis Operator theory Engineering mathematics Operator Theory Functional Analysis Applications of Mathematics Appl.Mathematics/Computational Methods of Engineering Mathematik Funktionalanalysis (DE-588)4018916-8 gnd Operatortheorie (DE-588)4075665-8 gnd Linearer Operator (DE-588)4167721-3 gnd Operator (DE-588)4130529-2 gnd |
| subject_GND | (DE-588)4018916-8 (DE-588)4075665-8 (DE-588)4167721-3 (DE-588)4130529-2 |
| title | Basic Operator Theory |
| title_auth | Basic Operator Theory |
| title_exact_search | Basic Operator Theory |
| title_full | Basic Operator Theory by Israel Gohberg, Seymour Goldberg |
| title_fullStr | Basic Operator Theory by Israel Gohberg, Seymour Goldberg |
| title_full_unstemmed | Basic Operator Theory by Israel Gohberg, Seymour Goldberg |
| title_short | Basic Operator Theory |
| title_sort | basic operator theory |
| topic | Mathematics Functional analysis Operator theory Engineering mathematics Operator Theory Functional Analysis Applications of Mathematics Appl.Mathematics/Computational Methods of Engineering Mathematik Funktionalanalysis (DE-588)4018916-8 gnd Operatortheorie (DE-588)4075665-8 gnd Linearer Operator (DE-588)4167721-3 gnd Operator (DE-588)4130529-2 gnd |
| topic_facet | Mathematics Functional analysis Operator theory Engineering mathematics Operator Theory Functional Analysis Applications of Mathematics Appl.Mathematics/Computational Methods of Engineering Mathematik Funktionalanalysis Operatortheorie Linearer Operator Operator |
| url | https://doi.org/10.1007/978-1-4612-5985-5 |
| work_keys_str_mv | AT gohbergyisraʿelz basicoperatortheory AT goldbergseymour basicoperatortheory |