Applied nonlinear functional analysis: an introduction
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin ; Boston
De Gruyter
[2018]
|
| Schriftenreihe: | De Gruyter graduate
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | X, 612 Seiten 24 cm x 17 cm |
| ISBN: | 9783110516227 3110516225 |
Internformat
MARC
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| 100 | 1 | |a Papageōrgiu, Nikolaos |d 1958- |0 (DE-588)137051085 |4 aut | |
| 245 | 1 | 0 | |a Applied nonlinear functional analysis |b an introduction |c Nikolaos S. Papageorgiou and Patrick Winkert |
| 264 | 1 | |a Berlin ; Boston |b De Gruyter |c [2018] | |
| 264 | 4 | |c © 2018 | |
| 300 | |a X, 612 Seiten |c 24 cm x 17 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
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| 653 | |a Fachhochschul-/Hochschulausbildung | ||
| 653 | |a Fachhochschul-/Hochschulausbildung | ||
| 653 | |a Banach-Raum | ||
| 653 | |a Lineare Funktionalanalysis | ||
| 653 | |a Nichtglatte Analysis | ||
| 653 | |a Nichtlineare Funktionalanalysis | ||
| 653 | |a Operatortheorie | ||
| 689 | 0 | 0 | |a Nichtlineare Funktionalanalysis |0 (DE-588)4042093-0 |D s |
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| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe, EPUB |z 978-3-11-053183-1 |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-030376657 | ||
Datensatz im Suchindex
| _version_ | 1804178587873443840 |
|---|---|
| adam_text | CONTENTS
PREFACE
1
1.1
1.2
1.3
1.4
1.5
1.6
1.7
1.8
2
2.1
2.2
2.3
2.4
2.5
2.6
2.7
2.8
3
3.1
3.2
3.3
3.4
3.5
3.6
3.7
3.8
4
4.1
4.2
4.3
4.4
4.5
4.6
-----
VII
BASIC TOPOLOGY * 1
BASIC NOTIONS * 1
SEPARATION AND COUNTABILITY PROPERTIES - CONVERGENCE * 9
WEAK, PRODUCT, AND QUOTIENT TOPOLOGIES * 19
CONNECTEDNESS AND COMPACTNESS * 25
METRIC SPACES - ZAIRE CATEGORY * 44
FUNCTION SPACES * 59
SEMICONTINUOUS FUNCTIONS - MISCELLANEOUS NOTIONS * 65
REMARKS
-----
73
MEASURE THEORY * 83
BASIC NOTIONS, MEASURES, AND OUTER MEASURES * 83
MEASURABLE FUNCTIONS - INTEGRATION * 98
CONVERGENCE THEOREMS AND
LP
-SPACES * 110
SIGNED MEASURES AND RADON-NIKODYM THEOREM * 127
REGULAR AND RADON MEASURES * 137
ANALYTIC (SOUSLIN) SETS * 147
SELECTION AND PROJECTION THEOREMS * 156
REMARKS * 167
BASIC FUNCTIONAL ANALYSIS * 179
TOPOLOGICAL VECTOR SPACES, HAHN-BANACH THEOREM
-----
179
THREE FUNDAMENTAL THEOREMS * 197
WEAK AND WEAK* TOPOLOGIES * 207
SEPARABLE AND REFLEXIVE BANACH SPACES * 216
HILBERT SPACES * 226
BOUNDED AND UNBOUNDED LINEAR OPERATORS * 238
COMPACT OPERATORS - FREDHOLM OPERATORS * 252
REMARKS * 268
BANACH SPACES OF FUNCTIONS AND MEASURES * 281
//-SPACES * 281
LEBESGUE-BOCHNER SPACES * 300
FUNCTIONS OF BOUNDED VARIATIONS * 322
ABSOLUTELY CONTINUOUS FUNCTIONS * 340
SOBOLEV SPACES * 351
SPACES OF MEASURES * 362
4.7 YOUNG MEASURES * 375
4.8 REMARKS * 383
5 CONVEX FUNCTIONS - NONSMOOTH ANALYSIS * 393
5.1 CONVEX FUNCTIONS - CONTINUITY PROPERTIES * 393
5.2 DIFFERENTIABILITY OF CONVEX FUNCTIONS * 402
5.3 CONJUGATE FUNCTIONS - CONVEX SUBDIFFERENTIAL *
5.4 PROXIMINAL AND CHEBYSHEV SETS * 427
5.5 SMOOTHNESS OF THE NORM * 431
5.6 MULTIFUNCTIONS - INTEGRAL FUNCTIONALS * 436
5.7 LIPSCHITZ AND LOCALLY LIPSCHITZ FUNCTIONS * 460
5.8 REMARKS
-----
473
6 NONLINEAR ANALYSIS
-----
483
6.1 OPERATORS OF MONOTONE TYPE * 483
6.2 BROUWER DEGREE * 511
6.3 LERAY-SCHAUDER DEGREE * 528
6.4 FIXED POINT THEORY
-----
536
6.4.1 METRIC FIXED POINT THEORY * 537
6.4.2 TOPOLOGICAL FIXED POINT THEORY * 547
6.5 FIXED POINT INDEX * 553
6.6 VARIATIONAL PRINCIPLES * 561
6.7 VARIATIONAL CONVERGENCE * 570
6.8 REMARKS * 579
BIBLIOGRAPHY * 587
INDEX * 599
LIST OF SYMBOLS * 609
|
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| author | Papageōrgiu, Nikolaos 1958- Winkert, Patrick 1981- |
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| bvnumber | BV044984325 |
| classification_rvk | SK 600 |
| ctrlnum | (OCoLC)1050670722 (DE-599)DNB1139379674 |
| discipline | Mathematik |
| format | Book |
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| spelling | Papageōrgiu, Nikolaos 1958- (DE-588)137051085 aut Applied nonlinear functional analysis an introduction Nikolaos S. Papageorgiou and Patrick Winkert Berlin ; Boston De Gruyter [2018] © 2018 X, 612 Seiten 24 cm x 17 cm txt rdacontent n rdamedia nc rdacarrier De Gruyter graduate Nichtlineare Funktionalanalysis (DE-588)4042093-0 gnd rswk-swf Fachhochschul-/Hochschulausbildung Banach-Raum Lineare Funktionalanalysis Nichtglatte Analysis Nichtlineare Funktionalanalysis Operatortheorie Nichtlineare Funktionalanalysis (DE-588)4042093-0 s DE-604 Winkert, Patrick 1981- (DE-588)134273419 aut Walter de Gruyter GmbH & Co. KG (DE-588)10095502-2 pbl Erscheint auch als 9783110532999 Erscheint auch als Online-Ausgabe, PDF 978-3-11-053298-2 Erscheint auch als Online-Ausgabe, EPUB 978-3-11-053183-1 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030376657&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Papageōrgiu, Nikolaos 1958- Winkert, Patrick 1981- Applied nonlinear functional analysis an introduction Nichtlineare Funktionalanalysis (DE-588)4042093-0 gnd |
| subject_GND | (DE-588)4042093-0 |
| title | Applied nonlinear functional analysis an introduction |
| title_auth | Applied nonlinear functional analysis an introduction |
| title_exact_search | Applied nonlinear functional analysis an introduction |
| title_full | Applied nonlinear functional analysis an introduction Nikolaos S. Papageorgiou and Patrick Winkert |
| title_fullStr | Applied nonlinear functional analysis an introduction Nikolaos S. Papageorgiou and Patrick Winkert |
| title_full_unstemmed | Applied nonlinear functional analysis an introduction Nikolaos S. Papageorgiou and Patrick Winkert |
| title_short | Applied nonlinear functional analysis |
| title_sort | applied nonlinear functional analysis an introduction |
| title_sub | an introduction |
| topic | Nichtlineare Funktionalanalysis (DE-588)4042093-0 gnd |
| topic_facet | Nichtlineare Funktionalanalysis |
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