Matrix and operator valued functions: the Vladimir Petrovich Potapov memorial volume
Gespeichert in:
| Weitere Verfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Basel ; Boston ; Berlin
Birkhäuser
1994
|
| Schriftenreihe: | Operator theory
72 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XXVIII, 211 Seiten Illustrationen |
| ISBN: | 3764350911 0817650911 |
Internformat
MARC
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| 245 | 1 | 0 | |a Matrix and operator valued functions |b the Vladimir Petrovich Potapov memorial volume |c Edited by I. Gohberg, L.A. Sakhnovich |
| 264 | 1 | |a Basel ; Boston ; Berlin |b Birkhäuser |c 1994 | |
| 300 | |a XXVIII, 211 Seiten |b Illustrationen | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Operator theory |v 72 | |
| 600 | 1 | 7 | |a Potapov, Vladimir P. |d 1914-1980 |0 (DE-588)119176432 |2 gnd |9 rswk-swf |
| 650 | 7 | |a Fonctions d'une variable complexe |2 ram | |
| 650 | 7 | |a Operatortheorie |2 gtt | |
| 650 | 7 | |a Opérateurs, théorie des |2 ram | |
| 650 | 7 | |a POTAPOV |2 inriac | |
| 650 | 7 | |a fonction matricielle |2 inriac | |
| 650 | 7 | |a équation avec opérateur |2 inriac | |
| 650 | 4 | |a Functions of complex variables | |
| 650 | 4 | |a Operator-valued functions | |
| 650 | 0 | 7 | |a Operatorwertige Funktion |0 (DE-588)4352034-0 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
| _version_ | 1804124054762815488 |
|---|---|
| adam_text | Table of Contents
Editorial Introduction viii
D.Z. Arov, Yu.P. Ginzburg, S.M. Pozin, L.A. Sakhnovich
Vladimir Petrovich Potapov xi
Curriculum Vitae of V.P. Potapov xix
List of Publications of V.P. Potapov xx
/. Gohberg
Odessa reminiscences xxiii
L.B. Golinskii
The last days of Vladimir Petrovich Potapov xxvi
D.Z. Arov
The influence of V.P. Potapov and M.G. Krein on my scientific work ... 1
1. My first dissertation 1
2. A tilt toward operator theory 4
3. The results of Potapov s group in network theory 5
4. Darlington method in the general theory of passive systems 7
5. Regular j inner matrix functions and related generalized
bitangential problems 11
References 13
T.Ja. Azizov, E.I. Iokvidov
The development of some of V.P. Potapov s ideas. The geometric
theory of operators in spaces with indefinite metric 17
References 25
Yu.P. Ginzburg, L.V. Shevchuk
On the Potapov theory of multiplicative representations 28
References 44
VI
T.S. Ivanchenko, L.A. Sakhnovich
An operator approach to the Potapov scheme for the solution
of interpolation problems 48
Chapter I. Potapov s method of solution of interpolation problems 48
1. Some information from j algebra 48
2. Nevanlinna Pick problem .53
3. The Schur problem 58
Chapter II. Operator identities and interpolation problems 61
Introduction 61
1. Formulation of the problem 61
2. The fundamental matrix inequality 63
3. The transformed inequality 67
4. The solution of nondegenerate interpolation problems 69
5. Weyl discs 72
6. Degenerate interpolation problems and the method of regularization .... 76
7. Applications of the general theory 78
References 84
V.E. Katsnelson
Description of a class of functions which admit an approximation
by rational functions with preassigned poles I 87
Introduction 88
2. The class PCNM of pseudocontinuable functions 94
3. The Smirnov class N* 97
4. The weighted space PCH^(I+ ,I~) of pseudocontinuable meromorphic
functions with prescribed denominators 101
5. G. Ts. Tumarkin s theorem on functions which admit weighted
approximation by a sequence of rational functions with preassigned poles . 107
6. Formulation of the main approximation theorem 113
7. A fundamental approximation Lemma 114
References 128
A.Ya. Kheifits, P.M. Yuditskii
An analysis and extension of V.P. Potapov s approach to problems with
applications to the generalized bi tangential Schur Nevanlinna Pick
problem and J inner outer factorization 133
1. Potapov s approach to the Nevanlinna Pick problem 134
2. An analysis of Potapov s approach and the AIP 137
3. The abstract interpolation problem 142
4. The AIP and unitary extensions of an isometry 144
5. The generalized bi tangential Schur Nevanlinna Pick (SNP) problem . . . 147
6. Inner outer factorization of J contractive matrix functions 154
References 158
VII
M.G. Krein, I.E. Ovcharenko
On the theory of inverse problems for the canonical differential
equation 162
References 168
Addendum 169
A.A. Nudel man
Some properties of linear fractional transformations and the
harmonic mean of matrix functions 171
References 183
A.L. Sakhnovich
Modification of V.P. Potapov s scheme in the indefinite case 185
0. Introduction 185
1. Preliminaries 186
2. Basic propositions 189
3. Extensions of the operator 5 195
4. Examples
References 200
L.A. Sakhnovich
Inverse problems for equations systems 202
1. Introduction 202
2. Existence theorems 203
3. Classical examples 204
4. Uniqueness theorems 207
References 210
|
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| illustrated | Illustrated |
| indexdate | 2024-07-09T17:39:34Z |
| institution | BVB |
| isbn | 3764350911 0817650911 |
| language | English |
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| physical | XXVIII, 211 Seiten Illustrationen |
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| series | Operator theory |
| series2 | Operator theory |
| spelling | Matrix and operator valued functions the Vladimir Petrovich Potapov memorial volume Edited by I. Gohberg, L.A. Sakhnovich Basel ; Boston ; Berlin Birkhäuser 1994 XXVIII, 211 Seiten Illustrationen txt rdacontent n rdamedia nc rdacarrier Operator theory 72 Potapov, Vladimir P. 1914-1980 (DE-588)119176432 gnd rswk-swf Fonctions d'une variable complexe ram Operatortheorie gtt Opérateurs, théorie des ram POTAPOV inriac fonction matricielle inriac équation avec opérateur inriac Functions of complex variables Operator-valued functions Operatorwertige Funktion (DE-588)4352034-0 gnd rswk-swf Matrixwertige Funktion (DE-588)4128928-6 gnd rswk-swf (DE-588)4143413-4 Aufsatzsammlung gnd-content (DE-588)4016928-5 Festschrift gnd-content Matrixwertige Funktion (DE-588)4128928-6 s DE-604 Operatorwertige Funktion (DE-588)4352034-0 s Potapov, Vladimir P. 1914-1980 (DE-588)119176432 p Gohberg, Yiśrāʿēl Z. 1928-2009 (DE-588)118915878 edt Sachnovič, Lev A. 1932- (DE-588)121081265 edt Potapov, Vladimir P. 1914-1980 (DE-588)119176432 hnr Operator theory 72 (DE-604)BV000000970 72 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006420836&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Matrix and operator valued functions the Vladimir Petrovich Potapov memorial volume Operator theory Potapov, Vladimir P. 1914-1980 (DE-588)119176432 gnd Fonctions d'une variable complexe ram Operatortheorie gtt Opérateurs, théorie des ram POTAPOV inriac fonction matricielle inriac équation avec opérateur inriac Functions of complex variables Operator-valued functions Operatorwertige Funktion (DE-588)4352034-0 gnd Matrixwertige Funktion (DE-588)4128928-6 gnd |
| subject_GND | (DE-588)119176432 (DE-588)4352034-0 (DE-588)4128928-6 (DE-588)4143413-4 (DE-588)4016928-5 |
| title | Matrix and operator valued functions the Vladimir Petrovich Potapov memorial volume |
| title_auth | Matrix and operator valued functions the Vladimir Petrovich Potapov memorial volume |
| title_exact_search | Matrix and operator valued functions the Vladimir Petrovich Potapov memorial volume |
| title_full | Matrix and operator valued functions the Vladimir Petrovich Potapov memorial volume Edited by I. Gohberg, L.A. Sakhnovich |
| title_fullStr | Matrix and operator valued functions the Vladimir Petrovich Potapov memorial volume Edited by I. Gohberg, L.A. Sakhnovich |
| title_full_unstemmed | Matrix and operator valued functions the Vladimir Petrovich Potapov memorial volume Edited by I. Gohberg, L.A. Sakhnovich |
| title_short | Matrix and operator valued functions |
| title_sort | matrix and operator valued functions the vladimir petrovich potapov memorial volume |
| title_sub | the Vladimir Petrovich Potapov memorial volume |
| topic | Potapov, Vladimir P. 1914-1980 (DE-588)119176432 gnd Fonctions d'une variable complexe ram Operatortheorie gtt Opérateurs, théorie des ram POTAPOV inriac fonction matricielle inriac équation avec opérateur inriac Functions of complex variables Operator-valued functions Operatorwertige Funktion (DE-588)4352034-0 gnd Matrixwertige Funktion (DE-588)4128928-6 gnd |
| topic_facet | Potapov, Vladimir P. 1914-1980 Fonctions d'une variable complexe Operatortheorie Opérateurs, théorie des POTAPOV fonction matricielle équation avec opérateur Functions of complex variables Operator-valued functions Operatorwertige Funktion Matrixwertige Funktion Aufsatzsammlung Festschrift |
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