Matrix norms and their applications:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Basel ; Boston ; Berlin
Birkhäuser Verlag
1988
|
| Schriftenreihe: | Operator theory
36 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | EST: Normy matric i ich priloženija <engl.> |
| Beschreibung: | VIII, 209 Seiten |
| ISBN: | 3764322209 0817622209 |
Internformat
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| 100 | 1 | |a Belickij, Genrich R. |d 1941- |0 (DE-588)112018017 |4 aut | |
| 240 | 1 | 0 | |a Normy matric i ich priloženija |
| 245 | 1 | 0 | |a Matrix norms and their applications |c G. R. Belitskii ; Yu. I. Lyubich |
| 264 | 1 | |a Basel ; Boston ; Berlin |b Birkhäuser Verlag |c 1988 | |
| 300 | |a VIII, 209 Seiten | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Operator theory |v 36 | |
| 500 | |a EST: Normy matric i ich priloženija <engl.> | ||
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| 830 | 0 | |a Operator theory |v 36 |w (DE-604)BV000000970 |9 36 | |
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Datensatz im Suchindex
| _version_ | 1804115339534925824 |
|---|---|
| adam_text | CONTENTS
PREFACE VII
CHAPTER 1 OPERATORS IN FINITE DIMENSIONAL NORMED SPACES . . 1
§1. Norms of vectors, linear functionals,
and linear operators 1
§2. Survey of spectral theory 14
§3. Spectral radius 17
§4. One parameter groups and semigroups of operators. ... 25
Appendix. Conditioning in general computational problems . 28
CHAPTER 2 SPECTRAL PROPERTIES OF CONTRACTIONS 33
§1. Contractive operators and isometries 33
§2. Stability theorems 46
§3. One parameter semigroups of contractions
and groups of isometries 48
§4. The boundary spectrum of extremal contractions 52
§5. Extreme points of the unit ball in
the space of operators 64
§6. Critical exponents 66
§7. The apparatus of functions on graphs 72
§8. Combinatorial and spectral properties of
I contractions 81
CO
§9. Combinatorial and spectral properties of
nonnegative matrices 96
§10. Finite Markov chains 102
§11. Nonnegative projectors 108
VI
CHAPTER 3 OPERATOR NORMS 113
§1. Ring norms on the algebra of operators in E 113
§2. Characterization of operator norms 126
§3. Operator minorants 133
§4. Suprema of families of operator norms 141
§5. Ring cross norms 150
§6. Orthogonally invariant norms 152
CHAPTER 4 STUDY OF THE ORDER STRUCTURE ON THE SET OF
RING NORMS 157
§1. Maximal chains of ring norms 157
§2. Generalized ring norms 160
§3. The lattice of subalgebras of the algebra End(E) . . . 166
§4. Characterization of automorphisms 179
Brief Comments on the Literature 201
References 205
|
| any_adam_object | 1 |
| author | Belickij, Genrich R. 1941- Ljubič, Jurij Ilʹič 1931- |
| author_GND | (DE-588)112018017 (DE-588)1089164149 |
| author_facet | Belickij, Genrich R. 1941- Ljubič, Jurij Ilʹič 1931- |
| author_role | aut aut |
| author_sort | Belickij, Genrich R. 1941- |
| author_variant | g r b gr grb j i l ji jil |
| building | Verbundindex |
| bvnumber | BV000885647 |
| classification_rvk | SK 220 SK 620 |
| classification_tum | MAT 462f |
| ctrlnum | (OCoLC)612082403 (DE-599)BVBBV000885647 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV000885647 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:21:03Z |
| institution | BVB |
| isbn | 3764322209 0817622209 |
| language | English |
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| physical | VIII, 209 Seiten |
| publishDate | 1988 |
| publishDateSearch | 1988 |
| publishDateSort | 1988 |
| publisher | Birkhäuser Verlag |
| record_format | marc |
| series | Operator theory |
| series2 | Operator theory |
| spelling | Belickij, Genrich R. 1941- (DE-588)112018017 aut Normy matric i ich priloženija Matrix norms and their applications G. R. Belitskii ; Yu. I. Lyubich Basel ; Boston ; Berlin Birkhäuser Verlag 1988 VIII, 209 Seiten txt rdacontent n rdamedia nc rdacarrier Operator theory 36 EST: Normy matric i ich priloženija <engl.> Matrixnorm (DE-588)4210047-1 gnd rswk-swf Matrixnorm (DE-588)4210047-1 s DE-604 Ljubič, Jurij Ilʹič 1931- (DE-588)1089164149 aut Erscheint auch als Online-Ausgabe 978-3-0348-7400-7 Operator theory 36 (DE-604)BV000000970 36 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000556311&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Belickij, Genrich R. 1941- Ljubič, Jurij Ilʹič 1931- Matrix norms and their applications Operator theory Matrixnorm (DE-588)4210047-1 gnd |
| subject_GND | (DE-588)4210047-1 |
| title | Matrix norms and their applications |
| title_alt | Normy matric i ich priloženija |
| title_auth | Matrix norms and their applications |
| title_exact_search | Matrix norms and their applications |
| title_full | Matrix norms and their applications G. R. Belitskii ; Yu. I. Lyubich |
| title_fullStr | Matrix norms and their applications G. R. Belitskii ; Yu. I. Lyubich |
| title_full_unstemmed | Matrix norms and their applications G. R. Belitskii ; Yu. I. Lyubich |
| title_short | Matrix norms and their applications |
| title_sort | matrix norms and their applications |
| topic | Matrixnorm (DE-588)4210047-1 gnd |
| topic_facet | Matrixnorm |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000556311&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000000970 |
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