Composition operators and classical function theory:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
New York, NY
Springer New York
1993
|
| Series: | Universitext: Tracts in Mathematics
|
| Subjects: | |
| Online Access: | UBW01 Volltext |
| Item Description: | The study of composition operators links some of the most basic questions you can ask about linear operators with beautiful classical results from analytic-function theory. The process invests old theorems with new meanings, and bestows upon functional analysis an intriguing class of concrete linear operators. Best of all, the subject can be appreciated by anyone with an interest in function theory or functional analysis, and a background roughly equivalent to the following twelve chapters of Rudin's textbook Real and Complex Analysis [Rdn '87]: Chapters 1-7 (measure and integration, LP spaces, basic Hilbert and Banach space theory), and 10-14 (basic function theory through the Riemann Mapping Theorem). In this book I introduce the reader to both the theory of composition operators, and the classical results that form its infrastructure. I develop the subject in a way that emphasizes its geometric content, staying as much as possible within the prerequisites set out in the twelve fundamental chapters of Rudin's book. Although much of the material on operators is quite recent, this book is not intended to be an exhaustive survey. It is, quite simply, an invitation to join in the fun. The story goes something like this |
| Physical Description: | 1 Online-Ressource (XVI, 223 S.) |
| ISBN: | 9781461208877 9780387940670 |
| DOI: | 10.1007/978-1-4612-0887-7 |
Staff View
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Record in the Search Index
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4612-0887-7 |
| format | Electronic eBook |
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| id | DE-604.BV042419661 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:05Z |
| institution | BVB |
| isbn | 9781461208877 9780387940670 |
| language | English |
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| spelling | Shapiro, Joel H. Verfasser (DE-588)1106286227 aut Composition operators and classical function theory Joel H. Shapiro New York, NY Springer New York 1993 1 Online-Ressource (XVI, 223 S.) txt rdacontent c rdamedia cr rdacarrier Universitext: Tracts in Mathematics The study of composition operators links some of the most basic questions you can ask about linear operators with beautiful classical results from analytic-function theory. The process invests old theorems with new meanings, and bestows upon functional analysis an intriguing class of concrete linear operators. Best of all, the subject can be appreciated by anyone with an interest in function theory or functional analysis, and a background roughly equivalent to the following twelve chapters of Rudin's textbook Real and Complex Analysis [Rdn '87]: Chapters 1-7 (measure and integration, LP spaces, basic Hilbert and Banach space theory), and 10-14 (basic function theory through the Riemann Mapping Theorem). In this book I introduce the reader to both the theory of composition operators, and the classical results that form its infrastructure. I develop the subject in a way that emphasizes its geometric content, staying as much as possible within the prerequisites set out in the twelve fundamental chapters of Rudin's book. Although much of the material on operators is quite recent, this book is not intended to be an exhaustive survey. It is, quite simply, an invitation to join in the fun. The story goes something like this Mathematics Global analysis (Mathematics) Analysis Mathematik Geometrische Funktionentheorie (DE-588)4156711-0 gnd rswk-swf Kompositionsoperator (DE-588)4236426-7 gnd rswk-swf Geometrische Funktionentheorie (DE-588)4156711-0 s Kompositionsoperator (DE-588)4236426-7 s DE-604 https://doi.org/10.1007/978-1-4612-0887-7 Verlag Volltext |
| spellingShingle | Shapiro, Joel H. Composition operators and classical function theory Mathematics Global analysis (Mathematics) Analysis Mathematik Geometrische Funktionentheorie (DE-588)4156711-0 gnd Kompositionsoperator (DE-588)4236426-7 gnd |
| subject_GND | (DE-588)4156711-0 (DE-588)4236426-7 |
| title | Composition operators and classical function theory |
| title_auth | Composition operators and classical function theory |
| title_exact_search | Composition operators and classical function theory |
| title_full | Composition operators and classical function theory Joel H. Shapiro |
| title_fullStr | Composition operators and classical function theory Joel H. Shapiro |
| title_full_unstemmed | Composition operators and classical function theory Joel H. Shapiro |
| title_short | Composition operators and classical function theory |
| title_sort | composition operators and classical function theory |
| topic | Mathematics Global analysis (Mathematics) Analysis Mathematik Geometrische Funktionentheorie (DE-588)4156711-0 gnd Kompositionsoperator (DE-588)4236426-7 gnd |
| topic_facet | Mathematics Global analysis (Mathematics) Analysis Mathematik Geometrische Funktionentheorie Kompositionsoperator |
| url | https://doi.org/10.1007/978-1-4612-0887-7 |
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