Vector lattices and integral operators:
Gespeichert in:
| Format: | Buch |
|---|---|
| Sprache: | English Russian |
| Veröffentlicht: |
Dordrecht [u.a.]
Kluwer
1996
|
| Schriftenreihe: | Mathematics and its applications
358 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | IX, 462 S. |
| ISBN: | 0792338979 |
Internformat
MARC
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| 245 | 1 | 0 | |a Vector lattices and integral operators |c ed. by S. S. Kutateladze |
| 264 | 1 | |a Dordrecht [u.a.] |b Kluwer |c 1996 | |
| 300 | |a IX, 462 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Mathematics and its applications |v 358 | |
| 650 | 7 | |a Riesz, Espaces de |2 ram | |
| 650 | 4 | |a Integral operators | |
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Datensatz im Suchindex
| _version_ | 1804125169164222464 |
|---|---|
| adam_text | Contents
Foreword vii
Chapter 1. Nonstandard Theory of Vector Lattices
(A. G. Kusraev and S. S. Kutateladze)
1. Vector Lattices 4
2. Boolean Valued Models 16
3. Real Numbers in Boolean Valued Models 31
4. Boolean Valued Analysis of Vector Lattices 46
5. Fragments of Positive Operators 59
6. Lattice Normed Spaces 71
Comments 91
References 99
Chapter 2. Operator Classes Determined by Order
Conditions (A. V. Bukhvalov)
1. Ideal Spaces 109
2. The Space of Regular Operators 117
3. Spaces of Vector Functions 132
4. Dominated Operators 139
Comments 149
References 153
Chapter 3. Stably Dominated and Stably Regular Operators
(B. M. Makarov)
1. p Absolutely Summing Operators 159
2. p Absolutely Summing Operators in Hilbert Space 168
3. Nuclear Operators 172
4. Stably Dominated Operators 182
5. Coincidence of Some Classes of Operators in the Scale
of the Banach Spaces Lp 209
vi
6. Nikishin Maurey Factorization Theorems 215
7. Stably Regular Operators 225
8. Certain Operator Lattices 230
9. Operator Spaces and Local Unconditional Structure 242
S. Supplement to Chapter 3 263
Comments 273
References 275
Chapter 4. Integral Operators (A. V. Bukhvalov, V. B. Korotkov,
and B. M. Makarov)
1. Basic Properties of Integral Operators 281
2. Integral Representation of Linear Operators 288
3. Applications of the Criterion for Integral Representability 301
4. Linear Operators and Vector Measures 303
5. Integral Representation of Nonlinear Operators 305
6. Algebraic Properties of Integral Operators 308
7. Universal Integral Operators and Operators with Integral
Commutators 319
Comments 339
References 341
S. Supplement to Chapter 4. Integral Operators of Convolution
(V. D. Stepanov) 347
References 357
Chapter 5. Disjointness Preserving Operators (A. E. Gutman)
1. Prerequisites 361
2. Order Approximating Sets 368
3. Order Bounded Operators 378
4. The Shadow of an Operator 389
5. Orthomorphisms 398
6. Shift Operators 409
7. Weighted Shift Operator 420
8. Representation of Disjointness Preserving Operators 430
9. Interpretation for the Properties of Operators 437
Comments 446
References 451
Index 455
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| id | DE-604.BV010690311 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:57:17Z |
| institution | BVB |
| isbn | 0792338979 |
| language | English Russian |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007136278 |
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| physical | IX, 462 S. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Kluwer |
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| series | Mathematics and its applications |
| series2 | Mathematics and its applications |
| spelling | Vector lattices and integral operators ed. by S. S. Kutateladze Dordrecht [u.a.] Kluwer 1996 IX, 462 S. txt rdacontent n rdamedia nc rdacarrier Mathematics and its applications 358 Riesz, Espaces de ram Integral operators Riesz spaces Vektorverband (DE-588)4187471-7 gnd rswk-swf Vektorverband (DE-588)4187471-7 s DE-604 Kutateladze, Semen S. 1945- Sonstige (DE-588)123299268 oth Mathematics and its applications 358 (DE-604)BV008163334 358 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007136278&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Vector lattices and integral operators Mathematics and its applications Riesz, Espaces de ram Integral operators Riesz spaces Vektorverband (DE-588)4187471-7 gnd |
| subject_GND | (DE-588)4187471-7 |
| title | Vector lattices and integral operators |
| title_auth | Vector lattices and integral operators |
| title_exact_search | Vector lattices and integral operators |
| title_full | Vector lattices and integral operators ed. by S. S. Kutateladze |
| title_fullStr | Vector lattices and integral operators ed. by S. S. Kutateladze |
| title_full_unstemmed | Vector lattices and integral operators ed. by S. S. Kutateladze |
| title_short | Vector lattices and integral operators |
| title_sort | vector lattices and integral operators |
| topic | Riesz, Espaces de ram Integral operators Riesz spaces Vektorverband (DE-588)4187471-7 gnd |
| topic_facet | Riesz, Espaces de Integral operators Riesz spaces Vektorverband |
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