Introduction to operator theory in Riesz spaces
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 ordi...
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
1997
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| 035 | |a (DE-599)BVBBV021938219 | ||
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| 041 | 0 | |a eng | |
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| 082 | 0 | |a 515/.73 |2 21 | |
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| 100 | 1 | |a Zaanen, Adriaan Cornelis |d 1913- |e Verfasser |0 (DE-588)119225751 |4 aut | |
| 245 | 1 | 0 | |a Introduction to operator theory in Riesz spaces |c Adriaan C. Zaanen |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1997 | |
| 300 | |a XI, 312 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Literaturverz. S. 307 | ||
| 520 | 3 | |a 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 ordinary Lebesque 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. | |
| 650 | 7 | |a Lineaire operatoren |2 gtt | |
| 650 | 7 | |a Opérateurs, Théorie des |2 ram | |
| 650 | 7 | |a Riesz, Espaces de |2 ram | |
| 650 | 7 | |a Riesz-ruimten |2 gtt | |
| 650 | 4 | |a Operator theory | |
| 650 | 4 | |a Riesz spaces | |
| 650 | 0 | 7 | |a Riesz-Raum |0 (DE-588)4178139-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Vektorverband |0 (DE-588)4187471-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Linearer Operator |0 (DE-588)4167721-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Boolesche Algebra |0 (DE-588)4146280-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Funktionalanalysis |0 (DE-588)4018916-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Banach-Raum |0 (DE-588)4004402-6 |2 gnd |9 rswk-swf |
| 655 | 7 | |0 (DE-588)4151278-9 |a Einführung |2 gnd-content | |
| 689 | 0 | 0 | |a Banach-Raum |0 (DE-588)4004402-6 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Funktionalanalysis |0 (DE-588)4018916-8 |D s |
| 689 | 1 | |5 DE-604 | |
| 689 | 2 | 0 | |a Boolesche Algebra |0 (DE-588)4146280-4 |D s |
| 689 | 2 | |5 DE-604 | |
| 689 | 3 | 0 | |a Vektorverband |0 (DE-588)4187471-7 |D s |
| 689 | 3 | |5 DE-604 | |
| 689 | 4 | 0 | |a Riesz-Raum |0 (DE-588)4178139-9 |D s |
| 689 | 4 | 1 | |a Linearer Operator |0 (DE-588)4167721-3 |D s |
| 689 | 4 | |8 1\p |5 DE-604 | |
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-015153369 | |
Datensatz im Suchindex
| _version_ | 1819261876906754048 |
|---|---|
| any_adam_object | |
| author | Zaanen, Adriaan Cornelis 1913- |
| author_GND | (DE-588)119225751 |
| author_facet | Zaanen, Adriaan Cornelis 1913- |
| author_role | aut |
| author_sort | Zaanen, Adriaan Cornelis 1913- |
| author_variant | a c z ac acz |
| building | Verbundindex |
| bvnumber | BV021938219 |
| callnumber-first | Q - Science |
| callnumber-label | QA322 |
| callnumber-raw | QA322 |
| callnumber-search | QA322 |
| callnumber-sort | QA 3322 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 620 |
| ctrlnum | (OCoLC)35961348 (DE-599)BVBBV021938219 |
| dewey-full | 515/.73 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.73 |
| dewey-search | 515/.73 |
| dewey-sort | 3515 273 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| genre | (DE-588)4151278-9 Einführung gnd-content |
| genre_facet | Einführung |
| id | DE-604.BV021938219 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-23T19:48:46Z |
| institution | BVB |
| isbn | 3540619895 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-015153369 |
| oclc_num | 35961348 |
| open_access_boolean | |
| owner | DE-706 |
| owner_facet | DE-706 |
| physical | XI, 312 S. |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | Springer |
| record_format | marc |
| spelling | Zaanen, Adriaan Cornelis 1913- Verfasser (DE-588)119225751 aut Introduction to operator theory in Riesz spaces Adriaan C. Zaanen Berlin [u.a.] Springer 1997 XI, 312 S. txt rdacontent n rdamedia nc rdacarrier Literaturverz. S. 307 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 ordinary Lebesque 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. Lineaire operatoren gtt Opérateurs, Théorie des ram Riesz, Espaces de ram Riesz-ruimten gtt Operator theory Riesz spaces Riesz-Raum (DE-588)4178139-9 gnd rswk-swf Vektorverband (DE-588)4187471-7 gnd rswk-swf Linearer Operator (DE-588)4167721-3 gnd rswk-swf Boolesche Algebra (DE-588)4146280-4 gnd rswk-swf Funktionalanalysis (DE-588)4018916-8 gnd rswk-swf Banach-Raum (DE-588)4004402-6 gnd rswk-swf (DE-588)4151278-9 Einführung gnd-content Banach-Raum (DE-588)4004402-6 s DE-604 Funktionalanalysis (DE-588)4018916-8 s Boolesche Algebra (DE-588)4146280-4 s Vektorverband (DE-588)4187471-7 s Riesz-Raum (DE-588)4178139-9 s Linearer Operator (DE-588)4167721-3 s 1\p DE-604 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Zaanen, Adriaan Cornelis 1913- Introduction to operator theory in Riesz spaces Lineaire operatoren gtt Opérateurs, Théorie des ram Riesz, Espaces de ram Riesz-ruimten gtt Operator theory Riesz spaces Riesz-Raum (DE-588)4178139-9 gnd Vektorverband (DE-588)4187471-7 gnd Linearer Operator (DE-588)4167721-3 gnd Boolesche Algebra (DE-588)4146280-4 gnd Funktionalanalysis (DE-588)4018916-8 gnd Banach-Raum (DE-588)4004402-6 gnd |
| subject_GND | (DE-588)4178139-9 (DE-588)4187471-7 (DE-588)4167721-3 (DE-588)4146280-4 (DE-588)4018916-8 (DE-588)4004402-6 (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 Adriaan C. Zaanen |
| title_fullStr | Introduction to operator theory in Riesz spaces Adriaan C. Zaanen |
| title_full_unstemmed | Introduction to operator theory in Riesz spaces Adriaan C. Zaanen |
| title_short | Introduction to operator theory in Riesz spaces |
| title_sort | introduction to operator theory in riesz spaces |
| topic | Lineaire operatoren gtt Opérateurs, Théorie des ram Riesz, Espaces de ram Riesz-ruimten gtt Operator theory Riesz spaces Riesz-Raum (DE-588)4178139-9 gnd Vektorverband (DE-588)4187471-7 gnd Linearer Operator (DE-588)4167721-3 gnd Boolesche Algebra (DE-588)4146280-4 gnd Funktionalanalysis (DE-588)4018916-8 gnd Banach-Raum (DE-588)4004402-6 gnd |
| topic_facet | Lineaire operatoren Opérateurs, Théorie des Riesz, Espaces de Riesz-ruimten Operator theory Riesz spaces Riesz-Raum Vektorverband Linearer Operator Boolesche Algebra Funktionalanalysis Banach-Raum Einführung |
| work_keys_str_mv | AT zaanenadriaancornelis introductiontooperatortheoryinrieszspaces |