Topological Riesz spaces and measure theory:
Measure Theory has played an important part in the development of functional analysis: it has been the source of many examples for functional analysis, including some which have been leading cases for major advances in the general theory, and certain results in measure theory have been applied to pr...
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| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1974
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| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 Volltext |
| Zusammenfassung: | Measure Theory has played an important part in the development of functional analysis: it has been the source of many examples for functional analysis, including some which have been leading cases for major advances in the general theory, and certain results in measure theory have been applied to prove general results in analysis. Often the ordinary functional analyst finds the language and a style of measure theory a stumbling block to a full understanding of these developments. Dr Fremlin's aim in writing this book is therefore to identify those concepts in measure theory which are most relevant to functional analysis and to integrate them into functional analysis in a way consistent with that subject's structure and habits of thought. This is achieved by approaching measure theory through the properties of Riesz spaces and especially topological Riesz spaces. Thus this book gathers together material which is not readily available elsewhere in a single collection and presents it in a form accessible to the first-year graduate student, whose knowledge of measure theory need not have progressed beyond that of the ordinary lebesgue integral |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xiv, 266 pages) |
| ISBN: | 9780511897207 |
| DOI: | 10.1017/CBO9780511897207 |
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Datensatz im Suchindex
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| dewey-ones | 515 - Analysis |
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| discipline | Mathematik Wirtschaftswissenschaften |
| doi_str_mv | 10.1017/CBO9780511897207 |
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| id | DE-604.BV043945789 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:24Z |
| institution | BVB |
| isbn | 9780511897207 |
| language | English |
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| spelling | Fremlin, D. H. Verfasser aut Topological Riesz spaces and measure theory D.H. Fremlin Topological Riesz Spaces & Measure Theory Cambridge Cambridge University Press 1974 1 online resource (xiv, 266 pages) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 05 Oct 2015) Measure Theory has played an important part in the development of functional analysis: it has been the source of many examples for functional analysis, including some which have been leading cases for major advances in the general theory, and certain results in measure theory have been applied to prove general results in analysis. Often the ordinary functional analyst finds the language and a style of measure theory a stumbling block to a full understanding of these developments. Dr Fremlin's aim in writing this book is therefore to identify those concepts in measure theory which are most relevant to functional analysis and to integrate them into functional analysis in a way consistent with that subject's structure and habits of thought. This is achieved by approaching measure theory through the properties of Riesz spaces and especially topological Riesz spaces. Thus this book gathers together material which is not readily available elsewhere in a single collection and presents it in a form accessible to the first-year graduate student, whose knowledge of measure theory need not have progressed beyond that of the ordinary lebesgue integral Measure theory Riesz spaces Riesz-Raum (DE-588)4178139-9 gnd rswk-swf Maßtheorie (DE-588)4074626-4 gnd rswk-swf Riesz-Raum (DE-588)4178139-9 s Maßtheorie (DE-588)4074626-4 s 1\p DE-604 Erscheint auch als Druckausgabe 978-0-521-09031-5 Erscheint auch als Druckausgabe 978-0-521-20170-4 https://doi.org/10.1017/CBO9780511897207 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Fremlin, D. H. Topological Riesz spaces and measure theory Measure theory Riesz spaces Riesz-Raum (DE-588)4178139-9 gnd Maßtheorie (DE-588)4074626-4 gnd |
| subject_GND | (DE-588)4178139-9 (DE-588)4074626-4 |
| title | Topological Riesz spaces and measure theory |
| title_alt | Topological Riesz Spaces & Measure Theory |
| title_auth | Topological Riesz spaces and measure theory |
| title_exact_search | Topological Riesz spaces and measure theory |
| title_full | Topological Riesz spaces and measure theory D.H. Fremlin |
| title_fullStr | Topological Riesz spaces and measure theory D.H. Fremlin |
| title_full_unstemmed | Topological Riesz spaces and measure theory D.H. Fremlin |
| title_short | Topological Riesz spaces and measure theory |
| title_sort | topological riesz spaces and measure theory |
| topic | Measure theory Riesz spaces Riesz-Raum (DE-588)4178139-9 gnd Maßtheorie (DE-588)4074626-4 gnd |
| topic_facet | Measure theory Riesz spaces Riesz-Raum Maßtheorie |
| url | https://doi.org/10.1017/CBO9780511897207 |
| work_keys_str_mv | AT fremlindh topologicalrieszspacesandmeasuretheory AT fremlindh topologicalrieszspacesmeasuretheory |