Topological Vector Spaces:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1971
|
| Schriftenreihe: | Graduate Texts in Mathematics
3 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | The present book is intended to be a systematic text on topological vector spaces and presupposes familiarity with the elements of general topology and linear algebra. The author has found it unnecessary to rederive these results, since they are equally basic for many other areas of mathematics, and every beginning graduate student is likely to have made their acquaintance. Simi larly, the elementary facts on Hilbert and Banach spaces are widely known and are not discussed in detail in this book, which is mainly addressed to those readers who have attained and wish to get beyond the introductory level. The book has its origin in courses given by the author at Washington State University, the University of Michigan, and the University of Tiibingen in the years 1958-1963. At that time there existed no reasonably complete text on topological vector spaces in English, and there seemed to be a genuine need for a book on this subject. This situation changed in 1963 with the appearance of the book by Kelley, Namioka et al. [1] which, through its many elegant proofs, has had some influence on the final draft of this manuscript. Yet the two books appear to be sufficiently different in spirit and subject matter to justify the publication of this manuscript; in particular, the present book includes a discussion of topological tensor products, nuclear spaces, ordered topological vector spaces, and an appendix on positive operators |
| Beschreibung: | 1 Online-Ressource (XI, 296 p) |
| ISBN: | 9781468499285 9780387053806 |
| ISSN: | 0072-5285 |
| DOI: | 10.1007/978-1-4684-9928-5 |
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Datensatz im Suchindex
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4684-9928-5 |
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| illustrated | Not Illustrated |
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| isbn | 9781468499285 9780387053806 |
| issn | 0072-5285 |
| language | English |
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| spelling | Schaefer, Helmut H. Verfasser aut Topological Vector Spaces by Helmut H. Schaefer New York, NY Springer New York 1971 1 Online-Ressource (XI, 296 p) txt rdacontent c rdamedia cr rdacarrier Graduate Texts in Mathematics 3 0072-5285 The present book is intended to be a systematic text on topological vector spaces and presupposes familiarity with the elements of general topology and linear algebra. The author has found it unnecessary to rederive these results, since they are equally basic for many other areas of mathematics, and every beginning graduate student is likely to have made their acquaintance. Simi larly, the elementary facts on Hilbert and Banach spaces are widely known and are not discussed in detail in this book, which is mainly addressed to those readers who have attained and wish to get beyond the introductory level. The book has its origin in courses given by the author at Washington State University, the University of Michigan, and the University of Tiibingen in the years 1958-1963. At that time there existed no reasonably complete text on topological vector spaces in English, and there seemed to be a genuine need for a book on this subject. This situation changed in 1963 with the appearance of the book by Kelley, Namioka et al. [1] which, through its many elegant proofs, has had some influence on the final draft of this manuscript. Yet the two books appear to be sufficiently different in spirit and subject matter to justify the publication of this manuscript; in particular, the present book includes a discussion of topological tensor products, nuclear spaces, ordered topological vector spaces, and an appendix on positive operators Mathematics Mathematics, general Mathematik Funktionalanalysis (DE-588)4018916-8 gnd rswk-swf Topologischer Vektorraum (DE-588)4122383-4 gnd rswk-swf Topologischer Vektorraum (DE-588)4122383-4 s 1\p DE-604 Funktionalanalysis (DE-588)4018916-8 s 2\p DE-604 https://doi.org/10.1007/978-1-4684-9928-5 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 |
| spellingShingle | Schaefer, Helmut H. Topological Vector Spaces Mathematics Mathematics, general Mathematik Funktionalanalysis (DE-588)4018916-8 gnd Topologischer Vektorraum (DE-588)4122383-4 gnd |
| subject_GND | (DE-588)4018916-8 (DE-588)4122383-4 |
| title | Topological Vector Spaces |
| title_auth | Topological Vector Spaces |
| title_exact_search | Topological Vector Spaces |
| title_full | Topological Vector Spaces by Helmut H. Schaefer |
| title_fullStr | Topological Vector Spaces by Helmut H. Schaefer |
| title_full_unstemmed | Topological Vector Spaces by Helmut H. Schaefer |
| title_short | Topological Vector Spaces |
| title_sort | topological vector spaces |
| topic | Mathematics Mathematics, general Mathematik Funktionalanalysis (DE-588)4018916-8 gnd Topologischer Vektorraum (DE-588)4122383-4 gnd |
| topic_facet | Mathematics Mathematics, general Mathematik Funktionalanalysis Topologischer Vektorraum |
| url | https://doi.org/10.1007/978-1-4684-9928-5 |
| work_keys_str_mv | AT schaeferhelmuth topologicalvectorspaces |