Introduction to Operator Theory in Riesz Spaces:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1997
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | The book deals with the structure of vector lattices, i.e. Riesz spaces, and Banach lattices, as well as with operators in these spaces. The methods used are kept as simple as possible. Almost no prior knowledge of functional analysis is required. For most applications some familiarity with the oridinary Lebesgue integral is already sufficient. In this respect the book differs from other books on the subject. In most books on functional analysis (even excellent ones) Riesz spaces, Banach lattices and positive operators are mentioned only briefly, or even not at all. The present book shows how these subjects can be treated without undue extra effort. Many of the results in the book were not yet known thirty years ago; some even were not known ten years ago |
| Beschreibung: | 1 Online-Ressource (XI, 312p) |
| ISBN: | 9783642606373 9783642644870 |
| DOI: | 10.1007/978-3-642-60637-3 |
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Datensatz im Suchindex
| _version_ | 1804153097696575488 |
|---|---|
| any_adam_object | |
| author | Zaanen, Adriaan C. |
| author_facet | Zaanen, Adriaan C. |
| author_role | aut |
| author_sort | Zaanen, Adriaan C. |
| author_variant | a c z ac acz |
| building | Verbundindex |
| bvnumber | BV042422779 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
| ctrlnum | (OCoLC)1184296068 (DE-599)BVBBV042422779 |
| dewey-full | 515.7 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.7 |
| dewey-search | 515.7 |
| dewey-sort | 3515.7 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-642-60637-3 |
| format | Electronic eBook |
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| id | DE-604.BV042422779 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:12Z |
| institution | BVB |
| isbn | 9783642606373 9783642644870 |
| language | English |
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| publishDate | 1997 |
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| spelling | Zaanen, Adriaan C. Verfasser aut Introduction to Operator Theory in Riesz Spaces by Adriaan C. Zaanen Berlin, Heidelberg Springer Berlin Heidelberg 1997 1 Online-Ressource (XI, 312p) txt rdacontent c rdamedia cr rdacarrier The book deals with the structure of vector lattices, i.e. Riesz spaces, and Banach lattices, as well as with operators in these spaces. The methods used are kept as simple as possible. Almost no prior knowledge of functional analysis is required. For most applications some familiarity with the oridinary Lebesgue integral is already sufficient. In this respect the book differs from other books on the subject. In most books on functional analysis (even excellent ones) Riesz spaces, Banach lattices and positive operators are mentioned only briefly, or even not at all. The present book shows how these subjects can be treated without undue extra effort. Many of the results in the book were not yet known thirty years ago; some even were not known ten years ago Mathematics Functional analysis Operator theory Functional Analysis Operator Theory Mathematik Linearer Operator (DE-588)4167721-3 gnd rswk-swf Boolesche Algebra (DE-588)4146280-4 gnd rswk-swf Vektorverband (DE-588)4187471-7 gnd rswk-swf Banach-Raum (DE-588)4004402-6 gnd rswk-swf Riesz-Raum (DE-588)4178139-9 gnd rswk-swf Funktionalanalysis (DE-588)4018916-8 gnd rswk-swf 1\p (DE-588)4151278-9 Einführung gnd-content Riesz-Raum (DE-588)4178139-9 s Linearer Operator (DE-588)4167721-3 s 2\p DE-604 Vektorverband (DE-588)4187471-7 s 3\p DE-604 Banach-Raum (DE-588)4004402-6 s 4\p DE-604 Funktionalanalysis (DE-588)4018916-8 s 5\p DE-604 Boolesche Algebra (DE-588)4146280-4 s 6\p DE-604 https://doi.org/10.1007/978-3-642-60637-3 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 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 5\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 6\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Zaanen, Adriaan C. Introduction to Operator Theory in Riesz Spaces Mathematics Functional analysis Operator theory Functional Analysis Operator Theory Mathematik Linearer Operator (DE-588)4167721-3 gnd Boolesche Algebra (DE-588)4146280-4 gnd Vektorverband (DE-588)4187471-7 gnd Banach-Raum (DE-588)4004402-6 gnd Riesz-Raum (DE-588)4178139-9 gnd Funktionalanalysis (DE-588)4018916-8 gnd |
| subject_GND | (DE-588)4167721-3 (DE-588)4146280-4 (DE-588)4187471-7 (DE-588)4004402-6 (DE-588)4178139-9 (DE-588)4018916-8 (DE-588)4151278-9 |
| title | Introduction to Operator Theory in Riesz Spaces |
| title_auth | Introduction to Operator Theory in Riesz Spaces |
| title_exact_search | Introduction to Operator Theory in Riesz Spaces |
| title_full | Introduction to Operator Theory in Riesz Spaces by Adriaan C. Zaanen |
| title_fullStr | Introduction to Operator Theory in Riesz Spaces by Adriaan C. Zaanen |
| title_full_unstemmed | Introduction to Operator Theory in Riesz Spaces by Adriaan C. Zaanen |
| title_short | Introduction to Operator Theory in Riesz Spaces |
| title_sort | introduction to operator theory in riesz spaces |
| topic | Mathematics Functional analysis Operator theory Functional Analysis Operator Theory Mathematik Linearer Operator (DE-588)4167721-3 gnd Boolesche Algebra (DE-588)4146280-4 gnd Vektorverband (DE-588)4187471-7 gnd Banach-Raum (DE-588)4004402-6 gnd Riesz-Raum (DE-588)4178139-9 gnd Funktionalanalysis (DE-588)4018916-8 gnd |
| topic_facet | Mathematics Functional analysis Operator theory Functional Analysis Operator Theory Mathematik Linearer Operator Boolesche Algebra Vektorverband Banach-Raum Riesz-Raum Funktionalanalysis Einführung |
| url | https://doi.org/10.1007/978-3-642-60637-3 |
| work_keys_str_mv | AT zaanenadriaanc introductiontooperatortheoryinrieszspaces |