Introduction to functional analysis: Banach spaces and differential calculus
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English Portuguese |
| Veröffentlicht: |
New York [u.a.]
Dekker
1981
|
| Schriftenreihe: | Pure and applied mathematics
60 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | IX, 166 S. |
| ISBN: | 0824769848 |
Internformat
MARC
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| 100 | 1 | |a Nachbin, Leopoldo |e Verfasser |4 aut | |
| 240 | 1 | 0 | |a Introduçǎo à análise functional |
| 245 | 1 | 0 | |a Introduction to functional analysis |b Banach spaces and differential calculus |c Leopoldo Nachbin. Transl. from the Portuguese by Richard M. Aron |
| 264 | 1 | |a New York [u.a.] |b Dekker |c 1981 | |
| 300 | |a IX, 166 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Pure and applied mathematics |v 60 | |
| 650 | 4 | |a Banach spaces | |
| 650 | 4 | |a Differential calculus | |
| 650 | 4 | |a Functional analysis | |
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Datensatz im Suchindex
| _version_ | 1804116597894283264 |
|---|---|
| adam_text | CONTENTS
Preface vii
PART I. BANACH SPACES 1
1. Normed Spaces 3
2. Banach Spaces 10
3. Normed Subspaces 20
4. Equivalent Norms 25
5. Spaces of Continuous Linear Operators 33
6. Continuous Linear Forms 43
7. Isometries 50
8. Cartesian Products and Direct Sums 52
9. Cartesian Products of Normed Spaces 57
10. Topological Direct Sums 60
11. Finite Dimensional Normed Spaces 63
12. Spaces of Continuous Multilinear Operators 77
PART II. DIFFERENTIAL CALCULUS 85
13. Differential Calculus in Normed Spaces 87
14. The Differential in Normed Spaces 92
15. Continuous Affine Tangent Mappings 97
16. Some Rules of Differential Calculus 99
17. The Scalar Variable Case 112
18. The Lagrange Mean Value Theorem 115
v
vi Contents
19. Mappings with Zero or Constant Derivatives 124
20. Interchanging the Order of Differentiation and
Limit 127
21. Continuously Differentiable Mappings 131
22. Partial Differentiation 133
23. Natural Identifications for Multilinear
Mappings 143
24. Higher Order Differentiation 150
Notation 161
Bibliography 163
Index 165
|
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| dewey-full | 515.7 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
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| dewey-search | 515.7 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik Wirtschaftswissenschaften |
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| indexdate | 2024-07-09T15:41:03Z |
| institution | BVB |
| isbn | 0824769848 |
| language | English Portuguese |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001406009 |
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| physical | IX, 166 S. |
| publishDate | 1981 |
| publishDateSearch | 1981 |
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| publisher | Dekker |
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| series | Pure and applied mathematics |
| series2 | Pure and applied mathematics |
| spelling | Nachbin, Leopoldo Verfasser aut Introduçǎo à análise functional Introduction to functional analysis Banach spaces and differential calculus Leopoldo Nachbin. Transl. from the Portuguese by Richard M. Aron New York [u.a.] Dekker 1981 IX, 166 S. txt rdacontent n rdamedia nc rdacarrier Pure and applied mathematics 60 Banach spaces Differential calculus Functional analysis Funktionalanalysis (DE-588)4018916-8 gnd rswk-swf Normierter Raum (DE-588)4127735-1 gnd rswk-swf Differentialrechnung (DE-588)4012252-9 gnd rswk-swf Banach-Raum (DE-588)4004402-6 gnd rswk-swf (DE-588)4151278-9 Einführung gnd-content Differentialrechnung (DE-588)4012252-9 s Normierter Raum (DE-588)4127735-1 s DE-604 Banach-Raum (DE-588)4004402-6 s Funktionalanalysis (DE-588)4018916-8 s Pure and applied mathematics 60 (DE-604)BV000001885 60 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001406009&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Nachbin, Leopoldo Introduction to functional analysis Banach spaces and differential calculus Pure and applied mathematics Banach spaces Differential calculus Functional analysis Funktionalanalysis (DE-588)4018916-8 gnd Normierter Raum (DE-588)4127735-1 gnd Differentialrechnung (DE-588)4012252-9 gnd Banach-Raum (DE-588)4004402-6 gnd |
| subject_GND | (DE-588)4018916-8 (DE-588)4127735-1 (DE-588)4012252-9 (DE-588)4004402-6 (DE-588)4151278-9 |
| title | Introduction to functional analysis Banach spaces and differential calculus |
| title_alt | Introduçǎo à análise functional |
| title_auth | Introduction to functional analysis Banach spaces and differential calculus |
| title_exact_search | Introduction to functional analysis Banach spaces and differential calculus |
| title_full | Introduction to functional analysis Banach spaces and differential calculus Leopoldo Nachbin. Transl. from the Portuguese by Richard M. Aron |
| title_fullStr | Introduction to functional analysis Banach spaces and differential calculus Leopoldo Nachbin. Transl. from the Portuguese by Richard M. Aron |
| title_full_unstemmed | Introduction to functional analysis Banach spaces and differential calculus Leopoldo Nachbin. Transl. from the Portuguese by Richard M. Aron |
| title_short | Introduction to functional analysis |
| title_sort | introduction to functional analysis banach spaces and differential calculus |
| title_sub | Banach spaces and differential calculus |
| topic | Banach spaces Differential calculus Functional analysis Funktionalanalysis (DE-588)4018916-8 gnd Normierter Raum (DE-588)4127735-1 gnd Differentialrechnung (DE-588)4012252-9 gnd Banach-Raum (DE-588)4004402-6 gnd |
| topic_facet | Banach spaces Differential calculus Functional analysis Funktionalanalysis Normierter Raum Differentialrechnung Banach-Raum Einführung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001406009&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000001885 |
| work_keys_str_mv | AT nachbinleopoldo introducaoaanalisefunctional AT nachbinleopoldo introductiontofunctionalanalysisbanachspacesanddifferentialcalculus |