Barrelled locally convex spaces:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Amsterdam
North-Holland
1987
|
| Schriftenreihe: | North-Holland mathematics studies
131 Notas de matemática (Rio de Janeiro, Brazil) no. 113 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This book is a systematic treatment of barrelled spaces, and of structures in which barrelledness conditions are significant. It is a fairly self-contained study of the structural theory of those spaces, concentrating on the basic phenomena in the theory, and presenting a variety of functional-analytic techniques. Beginning with some basic and important results in different branches of Analysis, the volume deals with Baire spaces, presents a variety of techniques, and gives the necessary definitions, exploring conditions on discs to ensure that they are absorbed by the barrels of the space. The abstract theory of barrelled spaces is then presented, as well as local completeness and its applications to the inheritance of the Mackey topology to subspaces. Further discussed is the abstract study of bornological and ultrabornological spaces; B- and B-completeness; inductive limits; strong barrelledness conditions; characterizations of barrelled, bornological and (DF)-spaces in the context of spaces of type C(X); the stability of barrelledness conditions of topological tensor products and the related questions of commutability of inductive limits and tensor products; and the holomorphically significant properties of locally convex spaces as developed by Nachbin and others Includes bibliographical references (p. 484-506) and index |
| Beschreibung: | 1 Online-Ressource (xv, 512 p.) |
| ISBN: | 9780444701299 044470129X 9780080872421 0080872425 1281797936 9781281797933 |
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| 500 | |a This book is a systematic treatment of barrelled spaces, and of structures in which barrelledness conditions are significant. It is a fairly self-contained study of the structural theory of those spaces, concentrating on the basic phenomena in the theory, and presenting a variety of functional-analytic techniques. Beginning with some basic and important results in different branches of Analysis, the volume deals with Baire spaces, presents a variety of techniques, and gives the necessary definitions, exploring conditions on discs to ensure that they are absorbed by the barrels of the space. The abstract theory of barrelled spaces is then presented, as well as local completeness and its applications to the inheritance of the Mackey topology to subspaces. Further discussed is the abstract study of bornological and ultrabornological spaces; B- and B-completeness; inductive limits; strong barrelledness conditions; characterizations of barrelled, bornological and (DF)-spaces in the context of spaces of type C(X); the stability of barrelledness conditions of topological tensor products and the related questions of commutability of inductive limits and tensor products; and the holomorphically significant properties of locally convex spaces as developed by Nachbin and others | ||
| 500 | |a Includes bibliographical references (p. 484-506) and index | ||
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| 650 | 4 | |a Espaces localement convexes | |
| 650 | 7 | |a Barrelled spaces |2 fast | |
| 650 | 7 | |a Locally convex spaces |2 fast | |
| 650 | 7 | |a MATHEMATICS / Transformations |2 bisacsh | |
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| 650 | 7 | |a Tonnelierter Raum |2 swd | |
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Datensatz im Suchindex
| _version_ | 1804152913853939712 |
|---|---|
| any_adam_object | |
| author | Pérez Carreras, Pedro |
| author_facet | Pérez Carreras, Pedro |
| author_role | aut |
| author_sort | Pérez Carreras, Pedro |
| author_variant | c p p cp cpp |
| building | Verbundindex |
| bvnumber | BV042317427 |
| collection | ZDB-33-ESD ZDB-33-EBS |
| ctrlnum | (ZDB-33-EBS)ocn316549601 (OCoLC)316549601 (DE-599)BVBBV042317427 |
| dewey-full | 515.7/3 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis 510 - Mathematics |
| dewey-raw | 515.7/3 510 |
| dewey-search | 515.7/3 510 |
| dewey-sort | 3515.7 13 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV042317427 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:18:16Z |
| institution | BVB |
| isbn | 9780444701299 044470129X 9780080872421 0080872425 1281797936 9781281797933 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027754418 |
| oclc_num | 316549601 |
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| owner | DE-1046 |
| owner_facet | DE-1046 |
| physical | 1 Online-Ressource (xv, 512 p.) |
| psigel | ZDB-33-ESD ZDB-33-EBS FAW_PDA_ESD FLA_PDA_ESD |
| publishDate | 1987 |
| publishDateSearch | 1987 |
| publishDateSort | 1987 |
| publisher | North-Holland |
| record_format | marc |
| series2 | North-Holland mathematics studies Notas de matemática (Rio de Janeiro, Brazil) |
| spelling | Pérez Carreras, Pedro Verfasser aut Barrelled locally convex spaces Pedro Pérez Carreras, José Bonet Amsterdam North-Holland 1987 1 Online-Ressource (xv, 512 p.) txt rdacontent c rdamedia cr rdacarrier North-Holland mathematics studies 131 Notas de matemática (Rio de Janeiro, Brazil) no. 113 This book is a systematic treatment of barrelled spaces, and of structures in which barrelledness conditions are significant. It is a fairly self-contained study of the structural theory of those spaces, concentrating on the basic phenomena in the theory, and presenting a variety of functional-analytic techniques. Beginning with some basic and important results in different branches of Analysis, the volume deals with Baire spaces, presents a variety of techniques, and gives the necessary definitions, exploring conditions on discs to ensure that they are absorbed by the barrels of the space. The abstract theory of barrelled spaces is then presented, as well as local completeness and its applications to the inheritance of the Mackey topology to subspaces. Further discussed is the abstract study of bornological and ultrabornological spaces; B- and B-completeness; inductive limits; strong barrelledness conditions; characterizations of barrelled, bornological and (DF)-spaces in the context of spaces of type C(X); the stability of barrelledness conditions of topological tensor products and the related questions of commutability of inductive limits and tensor products; and the holomorphically significant properties of locally convex spaces as developed by Nachbin and others Includes bibliographical references (p. 484-506) and index Espaces tonnelés Espaces localement convexes Barrelled spaces fast Locally convex spaces fast MATHEMATICS / Transformations bisacsh Lokalkonvexer Raum swd Tonnelierter Raum swd Barrelled spaces Locally convex spaces Tonnelierter Raum (DE-588)4300598-6 gnd rswk-swf Lokalkonvexer Raum (DE-588)4168126-5 gnd rswk-swf Topologischer Raum (DE-588)4137586-5 gnd rswk-swf Lokalkonvexer Raum (DE-588)4168126-5 s 1\p DE-604 Tonnelierter Raum (DE-588)4300598-6 s 2\p DE-604 Topologischer Raum (DE-588)4137586-5 s 3\p DE-604 Bonet, José Sonstige oth http://www.sciencedirect.com/science/book/9780444701299 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Pérez Carreras, Pedro Barrelled locally convex spaces Espaces tonnelés Espaces localement convexes Barrelled spaces fast Locally convex spaces fast MATHEMATICS / Transformations bisacsh Lokalkonvexer Raum swd Tonnelierter Raum swd Barrelled spaces Locally convex spaces Tonnelierter Raum (DE-588)4300598-6 gnd Lokalkonvexer Raum (DE-588)4168126-5 gnd Topologischer Raum (DE-588)4137586-5 gnd |
| subject_GND | (DE-588)4300598-6 (DE-588)4168126-5 (DE-588)4137586-5 |
| title | Barrelled locally convex spaces |
| title_auth | Barrelled locally convex spaces |
| title_exact_search | Barrelled locally convex spaces |
| title_full | Barrelled locally convex spaces Pedro Pérez Carreras, José Bonet |
| title_fullStr | Barrelled locally convex spaces Pedro Pérez Carreras, José Bonet |
| title_full_unstemmed | Barrelled locally convex spaces Pedro Pérez Carreras, José Bonet |
| title_short | Barrelled locally convex spaces |
| title_sort | barrelled locally convex spaces |
| topic | Espaces tonnelés Espaces localement convexes Barrelled spaces fast Locally convex spaces fast MATHEMATICS / Transformations bisacsh Lokalkonvexer Raum swd Tonnelierter Raum swd Barrelled spaces Locally convex spaces Tonnelierter Raum (DE-588)4300598-6 gnd Lokalkonvexer Raum (DE-588)4168126-5 gnd Topologischer Raum (DE-588)4137586-5 gnd |
| topic_facet | Espaces tonnelés Espaces localement convexes Barrelled spaces Locally convex spaces MATHEMATICS / Transformations Lokalkonvexer Raum Tonnelierter Raum Topologischer Raum |
| url | http://www.sciencedirect.com/science/book/9780444701299 |
| work_keys_str_mv | AT perezcarreraspedro barrelledlocallyconvexspaces AT bonetjose barrelledlocallyconvexspaces |