Elements of functional analysis:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge [u.a.]
Cambridge Univ. Press
1988
|
| Edition: | 2. ed. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XII, 242 S. |
| ISBN: | 0521353505 052135868X |
Staff View
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Record in the Search Index
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| adam_text | CONTENTS
Preface to the second edition page ix
Preface to the first edition xi
1 Basic set theory and analysis 1
1 Sets and functions 1
2 Real and complex numbers 12
3 Sequences of functions, continuity, differentiability 17
4 Inequalities 20
2 Metric and topological spaces 23
1 Metric and semimetric spaces 23
2 Complete metric spaces 32
3 Some metric and topological concepts 38
4 Continuous functions on metric and topological spaces 48
5 Compact sets 59
6 Category and uniform boundedness 65
3 Linear and linear metric spaces 69
1 Linear spaces 69
2 Subspaces, dimensionality, factorspaces, convex sets 73
3 Metric linear spaces, topological linear spaces 86
4 Basis 98
4 Normed linear spaces 103
1 Convergence and completeness 103
2 Linear operators and functionals 108
3 The Banach Steinhaus theorem 122
4 77ie open mapping and closed graph theorems 128
5 The Hahn Banach extension theorem 132
6 Wea/c topology and weak convergence 141
5 Banach algebras 153
1 Algebras and Banach algebras 153
2 Homomorphisms and isomorphisms 157
viii CONTENTS
3 The spectrum and the Gelfand Mazur theorem 160
4 The Wiener algebra 167
6 Hilbert space 172
1 Inner product and Hilbert spaces 172
2 Orthonormal sets 176
3 The dual space of a Hilbert space 180
4 Symmetric and compact operators 183
7 Applications 193
1 Differential and integral equations 193
2 77ie Sturm Liouville problem 205
3 Matrix transformations in sequence spaces 215
Appendix 228
Bibliography 238
/miex 239
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| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:40:57Z |
| institution | BVB |
| isbn | 0521353505 052135868X |
| language | English |
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| spelling | Maddox, Ivor J. Verfasser aut Elements of functional analysis I. J. Maddox 2. ed. Cambridge [u.a.] Cambridge Univ. Press 1988 XII, 242 S. txt rdacontent n rdamedia nc rdacarrier Functional analysis Funktionalanalysis (DE-588)4018916-8 gnd rswk-swf Funktionalanalysis (DE-588)4018916-8 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001402019&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Maddox, Ivor J. Elements of functional analysis Functional analysis Funktionalanalysis (DE-588)4018916-8 gnd |
| subject_GND | (DE-588)4018916-8 |
| title | Elements of functional analysis |
| title_auth | Elements of functional analysis |
| title_exact_search | Elements of functional analysis |
| title_full | Elements of functional analysis I. J. Maddox |
| title_fullStr | Elements of functional analysis I. J. Maddox |
| title_full_unstemmed | Elements of functional analysis I. J. Maddox |
| title_short | Elements of functional analysis |
| title_sort | elements of functional analysis |
| topic | Functional analysis Funktionalanalysis (DE-588)4018916-8 gnd |
| topic_facet | Functional analysis Funktionalanalysis |
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