Applied nonlinear functional analysis: an introduction
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin ; Boston
De Gruyter
[2018]
|
| Series: | De Gruyter graduate
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 612 Seiten 24 cm x 17 cm |
| ISBN: | 9783110516227 3110516225 |
Staff View
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV044984325 | ||
| 003 | DE-604 | ||
| 005 | 20210907 | ||
| 007 | t | ||
| 008 | 180604s2018 gw |||| 00||| eng d | ||
| 015 | |a 17,N37 |2 dnb | ||
| 016 | 7 | |a 1139379674 |2 DE-101 | |
| 020 | |a 9783110516227 |c : EUR 79.95 (DE) (freier Preis), EUR 80.70 (AT) (freier Preis) |9 978-3-11-051622-7 | ||
| 020 | |a 3110516225 |9 3-11-051622-5 | ||
| 024 | 3 | |a 9783110516227 | |
| 035 | |a (OCoLC)1050670722 | ||
| 035 | |a (DE-599)DNB1139379674 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 044 | |a gw |c XA-DE-BE | ||
| 049 | |a DE-20 |a DE-1050 |a DE-29T |a DE-19 |a DE-83 |a DE-188 |a DE-634 |a DE-703 |a DE-573 | ||
| 084 | |a SK 600 |0 (DE-625)143248: |2 rvk | ||
| 084 | |a 46Txx |2 msc | ||
| 084 | |a 46Nxx |2 msc | ||
| 084 | |a 46-02 |2 msc | ||
| 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 | ||
| 490 | 0 | |a De Gruyter graduate | |
| 650 | 0 | 7 | |a Nichtlineare Funktionalanalysis |0 (DE-588)4042093-0 |2 gnd |9 rswk-swf |
| 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 |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Winkert, Patrick |d 1981- |0 (DE-588)134273419 |4 aut | |
| 710 | 2 | |a Walter de Gruyter GmbH & Co. KG |0 (DE-588)10095502-2 |4 pbl | |
| 776 | 0 | 8 | |i Erscheint auch als |z 9783110532999 |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe, PDF |z 978-3-11-053298-2 |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe, EPUB |z 978-3-11-053183-1 |
| 856 | 4 | 2 | |m DNB Datenaustausch |q application/pdf |u 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 |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-030376657 | ||
Record in the Search Index
| _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
|
| any_adam_object | 1 |
| author | Papageōrgiu, Nikolaos 1958- Winkert, Patrick 1981- |
| author_GND | (DE-588)137051085 (DE-588)134273419 |
| author_facet | Papageōrgiu, Nikolaos 1958- Winkert, Patrick 1981- |
| author_role | aut aut |
| author_sort | Papageōrgiu, Nikolaos 1958- |
| author_variant | n p np p w pw |
| building | Verbundindex |
| bvnumber | BV044984325 |
| classification_rvk | SK 600 |
| ctrlnum | (OCoLC)1050670722 (DE-599)DNB1139379674 |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02314nam a2200577 c 4500</leader><controlfield tag="001">BV044984325</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20210907 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">180604s2018 gw |||| 00||| eng d</controlfield><datafield tag="015" ind1=" " ind2=" "><subfield code="a">17,N37</subfield><subfield code="2">dnb</subfield></datafield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">1139379674</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783110516227</subfield><subfield code="c">: EUR 79.95 (DE) (freier Preis), EUR 80.70 (AT) (freier Preis)</subfield><subfield code="9">978-3-11-051622-7</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">3110516225</subfield><subfield code="9">3-11-051622-5</subfield></datafield><datafield tag="024" ind1="3" ind2=" "><subfield code="a">9783110516227</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1050670722</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)DNB1139379674</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">gw</subfield><subfield code="c">XA-DE-BE</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-20</subfield><subfield code="a">DE-1050</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-188</subfield><subfield code="a">DE-634</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-573</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 600</subfield><subfield code="0">(DE-625)143248:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">46Txx</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">46Nxx</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">46-02</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Papageōrgiu, Nikolaos</subfield><subfield code="d">1958-</subfield><subfield code="0">(DE-588)137051085</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Applied nonlinear functional analysis</subfield><subfield code="b">an introduction</subfield><subfield code="c">Nikolaos S. Papageorgiou and Patrick Winkert</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin ; Boston</subfield><subfield code="b">De Gruyter</subfield><subfield code="c">[2018]</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">© 2018</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">X, 612 Seiten</subfield><subfield code="c">24 cm x 17 cm</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">De Gruyter graduate</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Nichtlineare Funktionalanalysis</subfield><subfield code="0">(DE-588)4042093-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Fachhochschul-/Hochschulausbildung</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Fachhochschul-/Hochschulausbildung</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Banach-Raum</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Lineare Funktionalanalysis</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Nichtglatte Analysis</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Nichtlineare Funktionalanalysis</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Operatortheorie</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Nichtlineare Funktionalanalysis</subfield><subfield code="0">(DE-588)4042093-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Winkert, Patrick</subfield><subfield code="d">1981-</subfield><subfield code="0">(DE-588)134273419</subfield><subfield code="4">aut</subfield></datafield><datafield tag="710" ind1="2" ind2=" "><subfield code="a">Walter de Gruyter GmbH & Co. KG</subfield><subfield code="0">(DE-588)10095502-2</subfield><subfield code="4">pbl</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="z">9783110532999</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Online-Ausgabe, PDF</subfield><subfield code="z">978-3-11-053298-2</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Online-Ausgabe, EPUB</subfield><subfield code="z">978-3-11-053183-1</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">DNB Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">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</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-030376657</subfield></datafield></record></collection> |
| id | DE-604.BV044984325 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T08:06:21Z |
| institution | BVB |
| institution_GND | (DE-588)10095502-2 |
| isbn | 9783110516227 3110516225 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030376657 |
| oclc_num | 1050670722 |
| open_access_boolean | |
| owner | DE-20 DE-1050 DE-29T DE-19 DE-BY-UBM DE-83 DE-188 DE-634 DE-703 DE-573 |
| owner_facet | DE-20 DE-1050 DE-29T DE-19 DE-BY-UBM DE-83 DE-188 DE-634 DE-703 DE-573 |
| physical | X, 612 Seiten 24 cm x 17 cm |
| publishDate | 2018 |
| publishDateSearch | 2018 |
| publishDateSort | 2018 |
| publisher | De Gruyter |
| record_format | marc |
| series2 | De Gruyter graduate |
| 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 |
| url | 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 |
| work_keys_str_mv | AT papageorgiunikolaos appliednonlinearfunctionalanalysisanintroduction AT winkertpatrick appliednonlinearfunctionalanalysisanintroduction AT walterdegruytergmbhcokg appliednonlinearfunctionalanalysisanintroduction |