The adjoint of a semigroup of linear operators:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
1992
|
| Schriftenreihe: | Lecture notes in mathematics
1529 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Zugl.: Leiden, Univ., Diss., 1992 |
| Beschreibung: | X, 194 S. |
| ISBN: | 3540562605 0387562605 |
Internformat
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| 100 | 1 | |a Neerven, Jan van |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a The adjoint of a semigroup of linear operators |c Jan van Neerven |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1992 | |
| 300 | |a X, 194 S. | ||
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| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a Lecture notes in mathematics |v 1529 | |
| 500 | |a Zugl.: Leiden, Univ., Diss., 1992 | ||
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Datensatz im Suchindex
| _version_ | 1804120079134097408 |
|---|---|
| adam_text | Contents
Chapter 1. The adjoint semigroup
1.1. Unbounded linear operators 1
1.2. The adjoint semigroup 3
1.3. The semigroup dual space 5
1.4. The spectrum of A@ 9
1.5. A class of examples 11
Chapter 2. The a(X, X®)-topology
2.1. tr(X,X0)-bounded sets 19
2.2. An Eberlein-Shmulyan type theorem for a(X,Xe) .... 24
2.3. The || • || -norm 28
2.4. r(X,X0)-compact maps 31
2.5. O-reflexivity .34
Chapter 3. Interpolation, extrapolation and duality
3.1. Extrapolation spaces 40
3.2. The Favard class 54
3.3. Interpolation between X and D(A) 60
3.4. The O-dual of Xa 64
Chapter 4. Perturbation theory
4.1. Perturbation of Hille-Yosida operators 69
4.2. Special cases 74
4.3. The space X@x 76
4.4. Regular weak*-continuous semigroups 84
Chapter 5. Dichotomy theorems
5.1. The natural embedding k : X @ — X** 96
5.2. The semigroup T@@(t) 98
5.3. The dichotomy theorem 103
5.4. An orbitwise generalization 108
Chapter 6. Adjoint semigroups and the RNP
6.1. The adjoint of the restricted semigroup Ill
6.2. Adjoint semigroups and the RNP 115
X
Chapter 7. Tensor products
7.1. The translation semigroup in Co (M;F) 122
7.2. Tensor products 128
7.3. The adjoint of To (t)®I 131
7.4 The Z-tensor product 138
Chapter 8. The adjoint of a positive semigroup
8.1. When is E@ a sublattice? 144
8.2. Wiener-Young theorems for positive semigroups .... 149
8.3. Positive semigroups on C(K) 159
8.4. Multiplication semigroups 163
8.5. Applications to Banach function spaces 169
Appendix
Al. Banach spaces 176
A2. Integration in Banach spaces 177
A3. One-parameter semigroups of operators 180
References 185
Index 191
Symbols 195
|
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| id | DE-604.BV005890309 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:36:23Z |
| institution | BVB |
| isbn | 3540562605 0387562605 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-003687601 |
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| physical | X, 194 S. |
| publishDate | 1992 |
| publishDateSearch | 1992 |
| publishDateSort | 1992 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Neerven, Jan van Verfasser aut The adjoint of a semigroup of linear operators Jan van Neerven Berlin [u.a.] Springer 1992 X, 194 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1529 Zugl.: Leiden, Univ., Diss., 1992 Linearer Operator (DE-588)4167721-3 gnd rswk-swf Operatorhalbgruppe (DE-588)4172620-0 gnd rswk-swf Halbgruppe (DE-588)4022990-7 gnd rswk-swf Adjungierte Halbgruppe (DE-588)4304476-1 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Operatorhalbgruppe (DE-588)4172620-0 s Adjungierte Halbgruppe (DE-588)4304476-1 s DE-604 Halbgruppe (DE-588)4022990-7 s Linearer Operator (DE-588)4167721-3 s Lecture notes in mathematics 1529 (DE-604)BV000676446 1529 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003687601&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Neerven, Jan van The adjoint of a semigroup of linear operators Lecture notes in mathematics Linearer Operator (DE-588)4167721-3 gnd Operatorhalbgruppe (DE-588)4172620-0 gnd Halbgruppe (DE-588)4022990-7 gnd Adjungierte Halbgruppe (DE-588)4304476-1 gnd |
| subject_GND | (DE-588)4167721-3 (DE-588)4172620-0 (DE-588)4022990-7 (DE-588)4304476-1 (DE-588)4113937-9 |
| title | The adjoint of a semigroup of linear operators |
| title_auth | The adjoint of a semigroup of linear operators |
| title_exact_search | The adjoint of a semigroup of linear operators |
| title_full | The adjoint of a semigroup of linear operators Jan van Neerven |
| title_fullStr | The adjoint of a semigroup of linear operators Jan van Neerven |
| title_full_unstemmed | The adjoint of a semigroup of linear operators Jan van Neerven |
| title_short | The adjoint of a semigroup of linear operators |
| title_sort | the adjoint of a semigroup of linear operators |
| topic | Linearer Operator (DE-588)4167721-3 gnd Operatorhalbgruppe (DE-588)4172620-0 gnd Halbgruppe (DE-588)4022990-7 gnd Adjungierte Halbgruppe (DE-588)4304476-1 gnd |
| topic_facet | Linearer Operator Operatorhalbgruppe Halbgruppe Adjungierte Halbgruppe Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003687601&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000676446 |
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