Banach space techniques underpinning a theory for nearly additive mappings:
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| Hauptverfasser: | , |
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Warszawa
Polska Akad. Nauk, Inst. Matematyczny
2002
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| Schriftenreihe: | Dissertationes mathematicae
404 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 73 S. |
Internformat
MARC
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| 245 | 1 | 0 | |a Banach space techniques underpinning a theory for nearly additive mappings |c Félix Cabello Sánchez and Jésus M. F. Castillo |
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Datensatz im Suchindex
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|---|---|
| adam_text |
Titel: Banach space techniques underpinning a theory for nearly additive mappings
Autor: Cabello Sánchez, Félix
Jahr: 2002
CONTENTS
I. Ulam's stability problem and twisted sums: two. faces of a coin.5
1. Background on Ulam's problem.5
2. Background on twisted sums.9
3. Examples of nearly additive maps.15
4. The Kalton-Peck-Ribe maps.20
II. Nearly additive mappings on controlled groups.21
1. Controlled groups and asymptotically additive maps.21
2. Five definitions of nearly additive maps.22
3. Forti's example.25
4. Four stability properties.26
III. Uniform boundedness principles.26
1. Decomposition of groups.27
2. Proof of Theorem 3.2.28
IV. Asymptotically additive maps.31
1. Amenable and weakly commutative groups and semigroups.31
2. Sandwich theorems.32
3. Embedding quasi-normed groups into Banach spaces.38
4. The scalar case.39
5. Vector-valued maps.42
V. Nearly additive mappings and exact sequences.45
1. Quasi-normed groups as topological groups.46
2. Extensions of quasi-normed groups.48
3. Nearly additive maps and twisted quasi-norms.49
4. Singular extensions of quasi-normed groups.50
5. The behavior of nearly additive maps on dense subgroups.52
6. Ger-additive maps and exact sequences.53
VI. Duality theory and localization techniques.55
1. The containing Banach space of a quasi-normed group.55
2. Projective and almost projective groups.58
3. Injective spaces.60
4. Sobczyk's theorem Hyers's way.60
5. Localization techniques.62
VII. Homology sequences, and applications.63
1. "Three-space" problems.65
2. iC-spaces.66
3. C\-spaces.66
4. Johnson-Lindenstrauss spaces.67
5. Kalton-Pelczyhski spaces.68
6. The road beyond.69
References.69 |
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| id | DE-604.BV014571776 |
| illustrated | Not Illustrated |
| indexdate | 2025-02-26T09:01:01Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009907760 |
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| physical | 73 S. |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | Polska Akad. Nauk, Inst. Matematyczny |
| record_format | marc |
| series | Dissertationes mathematicae |
| series2 | Dissertationes mathematicae |
| spelling | Cabello Sánchez, Félix Verfasser aut Banach space techniques underpinning a theory for nearly additive mappings Félix Cabello Sánchez and Jésus M. F. Castillo Warszawa Polska Akad. Nauk, Inst. Matematyczny 2002 73 S. txt rdacontent n rdamedia nc rdacarrier Dissertationes mathematicae 404 Banach spaces Mappings (Mathematics) Castillo, Jesús M. F. Verfasser aut Dissertationes mathematicae 404 (DE-604)BV000003039 404 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009907760&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Cabello Sánchez, Félix Castillo, Jesús M. F. Banach space techniques underpinning a theory for nearly additive mappings Dissertationes mathematicae Banach spaces Mappings (Mathematics) |
| title | Banach space techniques underpinning a theory for nearly additive mappings |
| title_auth | Banach space techniques underpinning a theory for nearly additive mappings |
| title_exact_search | Banach space techniques underpinning a theory for nearly additive mappings |
| title_full | Banach space techniques underpinning a theory for nearly additive mappings Félix Cabello Sánchez and Jésus M. F. Castillo |
| title_fullStr | Banach space techniques underpinning a theory for nearly additive mappings Félix Cabello Sánchez and Jésus M. F. Castillo |
| title_full_unstemmed | Banach space techniques underpinning a theory for nearly additive mappings Félix Cabello Sánchez and Jésus M. F. Castillo |
| title_short | Banach space techniques underpinning a theory for nearly additive mappings |
| title_sort | banach space techniques underpinning a theory for nearly additive mappings |
| topic | Banach spaces Mappings (Mathematics) |
| topic_facet | Banach spaces Mappings (Mathematics) |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009907760&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000003039 |
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