Composition operators on spaces of analytic functions:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Boca Raton [u.a.]
CRC Press
1995
|
| Schriftenreihe: | Studies in advanced mathematics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. 356 - 376 |
| Beschreibung: | XII, 388 S. graph. Darst. |
| ISBN: | 0849384923 |
Internformat
MARC
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| 100 | 1 | |a Cowen, Carl C. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Composition operators on spaces of analytic functions |c Carl C. Cowen ; Barbara D. MacCluer |
| 264 | 1 | |a Boca Raton [u.a.] |b CRC Press |c 1995 | |
| 300 | |a XII, 388 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Studies in advanced mathematics | |
| 500 | |a Literaturverz. S. 356 - 376 | ||
| 650 | 7 | |a Analise complexa (matematica) |2 larpcal | |
| 650 | 7 | |a Operadores (analise funcional) |2 larpcal | |
| 650 | 4 | |a Analytic spaces | |
| 650 | 4 | |a Composition operators | |
| 650 | 0 | 7 | |a Operator |0 (DE-588)4130529-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Analytische Funktion |0 (DE-588)4142348-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Funktionenraum |0 (DE-588)4134834-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Kompositionsoperator |0 (DE-588)4236426-7 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Kompositionsoperator |0 (DE-588)4236426-7 |D s |
| 689 | 0 | |5 DE-604 | |
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| 689 | 1 | 2 | |a Kompositionsoperator |0 (DE-588)4236426-7 |D s |
| 689 | 1 | |5 DE-604 | |
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| 700 | 1 | |a MacCluer, Barbara D. |e Verfasser |0 (DE-588)137647735 |4 aut | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007008239&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-007008239 | ||
Datensatz im Suchindex
| _version_ | 1804124981171322880 |
|---|---|
| adam_text | Contents
Preface ix
1 Introduction 1
Exercises 6
Notes „ 8
2 Analysis Background 9
2.1 A menagerie of spaces 9
Spaces of functions of several variables 20
Exercises 26
Notes 29
2.2 Some theorems on integration 29
Carleson measure theorems 36
Exercises 44
Notes 45
2.3 Geometric function theory in the disk 46
Exercises 59
Notes 62
2.4 Iteration of functions in the disk 62
Lemmas on iteration near the boundary 81
Exercises 93
Notes 95
2.5 The automorphisms of the ball 96
Exercises 101
Notes 102
2.6 Julia-Caratheodory theory in the ball 102
Exercises 114
Notes 115
v
vi CONTENTS
3 Norms 117
3.1 Boundedness in classical spaces on the disk 117
Exercises 126
Notes 128
3.2 Compactness and essential norms in classical spaces on the disk . 128
Exercises 141
Notes 143
3.3 Hilbert-Schmidt operators 143
Exercises 148
Notes 149
3.4 Composition operators with closed range 150
Exercises 159
Notes 160
3.5 Boundedness on HP(BN) 160
Exercises 172
Notes 174
4 Small Spaces 175
4.1 Compactness on small spaces 175
Exercises 184
Notes 185
4.2 Boundedness on small spaces 186
Exercises 193
Notes 195
5 Large Spaces 197
5.1 Boundedness on large spaces 197
Exercises 209
Notes 211
5.2 Compactness on large spaces 211
Exercises 214
Notes 215
5.3 Hilbert-Schmidt operators 215
Exercises 221
Notes 221
6 Special Results for Several Variables 222
6.1 Compactness revisited 222
Exercises 228
Notes 228
6.2 Wogen s theorem 229
Exercises 242
Notes 242
CONTENTS vii
6.3 Examples 243
Exercises 246
Notes 247
7 Spectral Properties 248
7.1 Introduction 248
7.2 Invertible operators on the classical spaces on the disk 249
Exercises 255
Notes 255
7.3 Invertible operators on the classical spaces on the ball 256
Exercises 263
Notes 263
7.4 Spectra of compact composition operators 264
Exercises 276
Notes 277
7.5 Spectra: boundary fixed point, cp (a) 1 277
Exercises 288
Notes 289
7.6 Spectra: interior fixed point 289
Exercises 298
Notes 298
7.7 Spectra: boundary fixed point, tp (a) = 1 299
Exercises 304
Notes 304
7.8 Spectra: inner functions 304
Exercises 307
Notes 307
8 Normality 308
8.1 Normal and hyponormal composition operators 308
Exercises 312
Notes 313
8.2 Subnormality of adjoints 313
Exercises 319
Notes 320
9 Miscellanea 321
9.1 Adjoints of some composition operators 321
A norm calculation 324
Exercises 326
Notes 327
9.2 Equivalence of composition operators 327
Exercises 331
Notes 331
via CONTENTS
9.3 Topological structure 332
Exercises 344
Notes 345
9.4 Polynomial approximation 346
Exercises 353
Notes 354
Bibliography 356
Symbol Index 377
Index 381
|
| any_adam_object | 1 |
| author | Cowen, Carl C. MacCluer, Barbara D. |
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| author_facet | Cowen, Carl C. MacCluer, Barbara D. |
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| dewey-full | 515/.73 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.73 |
| dewey-search | 515/.73 |
| dewey-sort | 3515 273 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| id | DE-604.BV010514491 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T17:54:18Z |
| institution | BVB |
| isbn | 0849384923 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007008239 |
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| physical | XII, 388 S. graph. Darst. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | CRC Press |
| record_format | marc |
| series2 | Studies in advanced mathematics |
| spelling | Cowen, Carl C. Verfasser aut Composition operators on spaces of analytic functions Carl C. Cowen ; Barbara D. MacCluer Boca Raton [u.a.] CRC Press 1995 XII, 388 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Studies in advanced mathematics Literaturverz. S. 356 - 376 Analise complexa (matematica) larpcal Operadores (analise funcional) larpcal Analytic spaces Composition operators Operator (DE-588)4130529-2 gnd rswk-swf Analytische Funktion (DE-588)4142348-3 gnd rswk-swf Funktionenraum (DE-588)4134834-5 gnd rswk-swf Kompositionsoperator (DE-588)4236426-7 gnd rswk-swf Kompositionsoperator (DE-588)4236426-7 s DE-604 Analytische Funktion (DE-588)4142348-3 s Funktionenraum (DE-588)4134834-5 s Operator (DE-588)4130529-2 s MacCluer, Barbara D. Verfasser (DE-588)137647735 aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007008239&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Cowen, Carl C. MacCluer, Barbara D. Composition operators on spaces of analytic functions Analise complexa (matematica) larpcal Operadores (analise funcional) larpcal Analytic spaces Composition operators Operator (DE-588)4130529-2 gnd Analytische Funktion (DE-588)4142348-3 gnd Funktionenraum (DE-588)4134834-5 gnd Kompositionsoperator (DE-588)4236426-7 gnd |
| subject_GND | (DE-588)4130529-2 (DE-588)4142348-3 (DE-588)4134834-5 (DE-588)4236426-7 |
| title | Composition operators on spaces of analytic functions |
| title_auth | Composition operators on spaces of analytic functions |
| title_exact_search | Composition operators on spaces of analytic functions |
| title_full | Composition operators on spaces of analytic functions Carl C. Cowen ; Barbara D. MacCluer |
| title_fullStr | Composition operators on spaces of analytic functions Carl C. Cowen ; Barbara D. MacCluer |
| title_full_unstemmed | Composition operators on spaces of analytic functions Carl C. Cowen ; Barbara D. MacCluer |
| title_short | Composition operators on spaces of analytic functions |
| title_sort | composition operators on spaces of analytic functions |
| topic | Analise complexa (matematica) larpcal Operadores (analise funcional) larpcal Analytic spaces Composition operators Operator (DE-588)4130529-2 gnd Analytische Funktion (DE-588)4142348-3 gnd Funktionenraum (DE-588)4134834-5 gnd Kompositionsoperator (DE-588)4236426-7 gnd |
| topic_facet | Analise complexa (matematica) Operadores (analise funcional) Analytic spaces Composition operators Operator Analytische Funktion Funktionenraum Kompositionsoperator |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007008239&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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