Introduction to Operator Theory I: Elements of Functional Analysis
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1977
|
| Schriftenreihe: | Graduate Texts in Mathematics
55 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This book was written expressly to serve as a textbook for a one- or two-semester introductory graduate course in functional analysis. Its (soon to be published) companion volume, Operators on Hilbert Space, is in tended to be used as a textbook for a subsequent course in operator theory. In writing these books we have naturally been concerned with the level of preparation of the potential reader, and, roughly speaking, we suppose him to be familiar with the approximate equivalent of a one-semester course in each of the following areas: linear algebra, general topology, complex analysis, and measure theory. Experience has taught us, however, that such a sequence of courses inevitably fails to treat certain topics that are important in the study of functional analysis and operator theory. For example, tensor products are frequently not discussed in a first course in linear algebra. Likewise for the topics of convergence of nets and the Baire category theorem in a course in topology, and the connections between measure and topology in a course in measure theory. For this reason we have chosen to devote the first ten chapters of this volume (entitled Part I) to topics of a preliminary nature. In other words, Part I summarizes in considerable detail what a student should (and eventually must) know in order to study functional analysis and operator theory successfully |
| Beschreibung: | 1 Online-Ressource (XIV, 476 p) |
| ISBN: | 9781461299264 9781461299288 |
| ISSN: | 0072-5285 |
| DOI: | 10.1007/978-1-4612-9926-4 |
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| illustrated | Not Illustrated |
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| isbn | 9781461299264 9781461299288 |
| issn | 0072-5285 |
| language | English |
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| spelling | Brown, Arlen Verfasser aut Introduction to Operator Theory I Elements of Functional Analysis by Arlen Brown, Carl Pearcy New York, NY Springer New York 1977 1 Online-Ressource (XIV, 476 p) txt rdacontent c rdamedia cr rdacarrier Graduate Texts in Mathematics 55 0072-5285 This book was written expressly to serve as a textbook for a one- or two-semester introductory graduate course in functional analysis. Its (soon to be published) companion volume, Operators on Hilbert Space, is in tended to be used as a textbook for a subsequent course in operator theory. In writing these books we have naturally been concerned with the level of preparation of the potential reader, and, roughly speaking, we suppose him to be familiar with the approximate equivalent of a one-semester course in each of the following areas: linear algebra, general topology, complex analysis, and measure theory. Experience has taught us, however, that such a sequence of courses inevitably fails to treat certain topics that are important in the study of functional analysis and operator theory. For example, tensor products are frequently not discussed in a first course in linear algebra. Likewise for the topics of convergence of nets and the Baire category theorem in a course in topology, and the connections between measure and topology in a course in measure theory. For this reason we have chosen to devote the first ten chapters of this volume (entitled Part I) to topics of a preliminary nature. In other words, Part I summarizes in considerable detail what a student should (and eventually must) know in order to study functional analysis and operator theory successfully Mathematics Mathematics, general Mathematik Pearcy, Carl Sonstige oth https://doi.org/10.1007/978-1-4612-9926-4 Verlag Volltext |
| spellingShingle | Brown, Arlen Introduction to Operator Theory I Elements of Functional Analysis Mathematics Mathematics, general Mathematik |
| title | Introduction to Operator Theory I Elements of Functional Analysis |
| title_auth | Introduction to Operator Theory I Elements of Functional Analysis |
| title_exact_search | Introduction to Operator Theory I Elements of Functional Analysis |
| title_full | Introduction to Operator Theory I Elements of Functional Analysis by Arlen Brown, Carl Pearcy |
| title_fullStr | Introduction to Operator Theory I Elements of Functional Analysis by Arlen Brown, Carl Pearcy |
| title_full_unstemmed | Introduction to Operator Theory I Elements of Functional Analysis by Arlen Brown, Carl Pearcy |
| title_short | Introduction to Operator Theory I |
| title_sort | introduction to operator theory i elements of functional analysis |
| title_sub | Elements of Functional Analysis |
| topic | Mathematics Mathematics, general Mathematik |
| topic_facet | Mathematics Mathematics, general Mathematik |
| url | https://doi.org/10.1007/978-1-4612-9926-4 |
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