Homological methods in Banach space theory:
Many researchers in geometric functional analysis are unaware of algebraic aspects of the subject and the advances they have permitted in the last half century. This book, written by two world experts on homological methods in Banach space theory, gives functional analysts a new perspective on their...
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| Main Authors: | , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2023
|
| Series: | Cambridge studies in advanced mathematics
203 |
| Subjects: | |
| Online Access: | DE-12 DE-634 DE-92 DE-91 Volltext |
| Summary: | Many researchers in geometric functional analysis are unaware of algebraic aspects of the subject and the advances they have permitted in the last half century. This book, written by two world experts on homological methods in Banach space theory, gives functional analysts a new perspective on their field and new tools to tackle its problems. All techniques and constructions from homological algebra and category theory are introduced from scratch and illustrated with concrete examples at varying levels of sophistication. These techniques are then used to present both important classical results and powerful advances from recent years. Finally, the authors apply them to solve many old and new problems in the theory of (quasi-) Banach spaces and outline new lines of research. |
| Physical Description: | 1 Online-Ressource (xi, 547 Seiten) Illustrationen |
| ISBN: | 9781108778312 |
| DOI: | 10.1017/9781108778312 |
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| author | Cabello Sánchez, Félix ca. 20./21. Jh Castillo, Jesús M. F. ca. 20./21. Jh |
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| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| doi_str_mv | 10.1017/9781108778312 |
| format | Electronic eBook |
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| id | DE-604.BV048823702 |
| illustrated | Not Illustrated |
| index_date | 2024-07-03T21:33:52Z |
| indexdate | 2024-07-20T09:04:05Z |
| institution | BVB |
| isbn | 9781108778312 |
| language | English |
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| physical | 1 Online-Ressource (xi, 547 Seiten) Illustrationen |
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| publishDate | 2023 |
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| publisher | Cambridge University Press |
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| series | Cambridge studies in advanced mathematics |
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| spelling | Cabello Sánchez, Félix ca. 20./21. Jh. (DE-588)1281524638 aut Homological methods in Banach space theory Félix Cabello Sánchez, Jesús M.F. Castillo Cambridge Cambridge University Press 2023 1 Online-Ressource (xi, 547 Seiten) Illustrationen txt rdacontent sti rdacontent c rdamedia cr rdacarrier Cambridge studies in advanced mathematics 203 Many researchers in geometric functional analysis are unaware of algebraic aspects of the subject and the advances they have permitted in the last half century. This book, written by two world experts on homological methods in Banach space theory, gives functional analysts a new perspective on their field and new tools to tackle its problems. All techniques and constructions from homological algebra and category theory are introduced from scratch and illustrated with concrete examples at varying levels of sophistication. These techniques are then used to present both important classical results and powerful advances from recent years. Finally, the authors apply them to solve many old and new problems in the theory of (quasi-) Banach spaces and outline new lines of research. Banach spaces Algebra, Homological Castillo, Jesús M. F. ca. 20./21. Jh. (DE-588)1104280604 aut Erscheint auch als Druck-Ausgabe 978-1-108-47858-8 Cambridge studies in advanced mathematics 203 (DE-604)BV044781283 203 https://doi.org/10.1017/9781108778312 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Cabello Sánchez, Félix ca. 20./21. Jh Castillo, Jesús M. F. ca. 20./21. Jh Homological methods in Banach space theory Banach spaces Algebra, Homological Cambridge studies in advanced mathematics |
| title | Homological methods in Banach space theory |
| title_auth | Homological methods in Banach space theory |
| title_exact_search | Homological methods in Banach space theory |
| title_exact_search_txtP | Homological methods in Banach space theory |
| title_full | Homological methods in Banach space theory Félix Cabello Sánchez, Jesús M.F. Castillo |
| title_fullStr | Homological methods in Banach space theory Félix Cabello Sánchez, Jesús M.F. Castillo |
| title_full_unstemmed | Homological methods in Banach space theory Félix Cabello Sánchez, Jesús M.F. Castillo |
| title_short | Homological methods in Banach space theory |
| title_sort | homological methods in banach space theory |
| topic | Banach spaces Algebra, Homological |
| topic_facet | Banach spaces Algebra, Homological |
| url | https://doi.org/10.1017/9781108778312 |
| volume_link | (DE-604)BV044781283 |
| work_keys_str_mv | AT cabellosanchezfelix homologicalmethodsinbanachspacetheory AT castillojesusmf homologicalmethodsinbanachspacetheory |