Operator theory and complex analysis:
Gespeichert in:
| Format: | Tagungsbericht Buch |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Basel u.a.
Birkhäuser
1992
|
| Schriftenreihe: | Operator theory
59 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | X, 406 S. |
| ISBN: | 376432824X 081762824X |
Internformat
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| 245 | 1 | 0 | |a Operator theory and complex analysis |c Workshop on Operator Theory and Complex Analysis, Sapporo (Japan), June 1991. Ed. by T. Ando ... |
| 264 | 1 | |a Basel u.a. |b Birkhäuser |c 1992 | |
| 300 | |a X, 406 S. | ||
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Datensatz im Suchindex
| _version_ | 1804119907111010304 |
|---|---|
| adam_text | V
Table of Contents
Editorial Introduction ix
V. Adamyan
Scattering matrices for microschemes 1
1. General expressions for the scattering matrix 2
2. Continuity condition 7
References 10
D. Alpay, A. Dijksma, J. van der Ploeg, H.S.V. de Snoo
Holomorphic operators between Krein spaces and the number
of squares of associated kernels 11
0. Introduction 11
1. Realizations of a class of Schur functions 15
2. Positive squares and injectivity 20
3. Application of the Potapov Ginzburg transform 23
References 28
D. Alpay, H. Dym
On reproducing kernel spaces, the Schur algorithm,
and interpolation in a general class of domains 30
1. Introduction 31
2. Preliminaries 33
3. B(X) spaces 39
4. Recursive extractions and the Schur algorithm 47
5. Hp(S) spaces 57
6. Linear fractional transformations 64
7. One sided interpolation 67
8. References 74
M. Bakonyi, H.J. Woerdeman
The central method for positive semi definite, contractive
and strong Parrott type completion problems 78
1. Introduction 78
2. Positive semi definite completions 79
3. Contractive completions 87
4. Linearly constrained contractive completions 89
References 95
VI
J.A. Ball, M. Rakowski
Interpolation by rational matrix functions and stability
of feedback systems: The 4 block case 96
Introduction 96
1. Preliminaries 100
2. A homogeneous interpolation problem 104
3. Interpolation problem 109
4. Parametrization of solutions 116
5. Interpolation and internally stable feedback systems 131
References 140
H. Bart, V.E. Tsekanovskii
Matricial coupling and equivalence after extension 143
1. Introduction 143
2. Coupling versus equivalence 145
3. Examples 148
4. Special classes of operators 153
References 157
J.I. Fujii
Operator means and the relative operator entropy 161
1. Introduction 161
2. Origins of operator means 162
3. Operator means and operator monotone functions 163
4. Operator concave functions and Jensen s inequality 165
5. Relative operator entropy 167
References 171
M. Fujii, T. FuTuta, E. Kamei
An application of Furuta s inequality to Ando s theorem 173
1. Introduction 173
2. Operator functions 175
3. Furuta s type inequalities 176
4. An application to Ando s theorem 177
References 179
T. FuTuta
Applications of order preserving operator inequalities 180
0. Introduction 180
1. Application to the relative operator entropy 181
2. Application to some extended result of Ando s one 185
References 190
VII
/. Gohberg, M.A. Kaashoek
The band extension of the real line as a limit of discrete band
extensions, I. The main limit theorem 191
0. Introduction 191
1. Preliminaries and preparations 193
II. Band extensions 201
III. Continuous versus discrete 205
References 219
K. Izuchi
Interpolating sequences in the maximal ideal
space of H°° II 221
1. Introduction 221
2. Condition (A2) 223
3. Condition (A3) 227
4. Conditional) 231
References 232
C.R. Johnson, M. Lundquist
Operator matrices with chordal inverse patterns 234
1. Introduction 234
2. Entry formulae 237
3. Inertia formula 243
References 251
P. Jonas, H. Langer, B. Textorius
Models and unitary equivalence of cyclic selfadjoint
operators in Pontrjagin spaces 252
Introduction 252
1. The class T of linear functionals 253
2. The Pontrjagin space associated with / € T 257
3. Models for cyclic selfadjoint operators in Pontrjagin spaces 266
4. Unitary equivalence of cyclic selfadjoint operators in Pontrjagin spaces . . 275
References 283
T. Okayasu
The von Neumann inequality and dilation theorems for contractions . . 285
1. The von Neumann inequality and strong unitary dilation 285
2. Canonical representation of completely contractive maps 287
3. An effect of generation of nuclear algebras 289
References 290
L.A. Sakhnovich
Interpolation problems, inverse spectral problems
and nonlinear equations 292
References 303
VIII
S. Takahaski
Extended interpolation problem in finitely connected domains 305
Introduction 305
I. Matrices and transformation formulas 306
II. Disc Cases 309
III. Domains of finite connectivity 318
References 326
E.R. Tsekanovskii
Accretive extensions and problems on the Stieltjes
operator valued functions relations 328
1. Accretive and sectorial extensions of the positive operators,
operators of the class C(9) and their parametric representation 329
2. Stieltjes operator valued functions and their realization 335
3. M.S. Livsic triangular model of the M accretive extensions
(with real spectrum) of the positive operators 345
4. Canonical and generalized resolvents of QSC extensions
of Hermitian contractions 343
References 344
V. Vinnikov
Commuting nonselfadjoint operators and algebraic curves 348
1. Commuting nonselfadjoint operators and the discriminant curve 348
2. Determinantal representations of real plane curves 350
3. Commutative operator colligations 353
4. Construction of triangular models: Finite dimensional case 355
5. Construction of triangular models: General case 359
6. Characteristic functions and the factorization theorem 364
References 370
P.Y. Wu
All (?) about quasinormal operators 372
1. Introduction 372
2. Representations 374
3. Spectrum and multiplicity 377
4. Special classes 379
5. Invariant subspaces 380
6. Commutant 382
7. Similarity 385
8. Quasisimilarity 387
9. Compact perturbation 391
10. Open problems 393
References 394
Workshop Program 399
List of Participants 402
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| language | English |
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| spelling | Operator theory and complex analysis Workshop on Operator Theory and Complex Analysis, Sapporo (Japan), June 1991. Ed. by T. Ando ... Basel u.a. Birkhäuser 1992 X, 406 S. txt rdacontent n rdamedia nc rdacarrier Operator theory 59 Fonctions d'une variable complexe - Congrès ram Opérateurs, théorie des - Congrès ram Functions of complex variables Congresses Operator theory Congresses Funktionentheorie (DE-588)4018935-1 gnd rswk-swf Operatortheorie (DE-588)4075665-8 gnd rswk-swf (DE-588)1071861417 Konferenzschrift 1991 Sapporo gnd-content Funktionentheorie (DE-588)4018935-1 s DE-604 Operatortheorie (DE-588)4075665-8 s Ando, Tsuyoshi Sonstige oth Workshop on Operator Theory and Complex Analysis 1991 Sapporo Sonstige (DE-588)2124668-3 oth Operator theory 59 (DE-604)BV000000970 59 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003574539&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Operator theory and complex analysis Operator theory Fonctions d'une variable complexe - Congrès ram Opérateurs, théorie des - Congrès ram Functions of complex variables Congresses Operator theory Congresses Funktionentheorie (DE-588)4018935-1 gnd Operatortheorie (DE-588)4075665-8 gnd |
| subject_GND | (DE-588)4018935-1 (DE-588)4075665-8 (DE-588)1071861417 |
| title | Operator theory and complex analysis |
| title_auth | Operator theory and complex analysis |
| title_exact_search | Operator theory and complex analysis |
| title_full | Operator theory and complex analysis Workshop on Operator Theory and Complex Analysis, Sapporo (Japan), June 1991. Ed. by T. Ando ... |
| title_fullStr | Operator theory and complex analysis Workshop on Operator Theory and Complex Analysis, Sapporo (Japan), June 1991. Ed. by T. Ando ... |
| title_full_unstemmed | Operator theory and complex analysis Workshop on Operator Theory and Complex Analysis, Sapporo (Japan), June 1991. Ed. by T. Ando ... |
| title_short | Operator theory and complex analysis |
| title_sort | operator theory and complex analysis |
| topic | Fonctions d'une variable complexe - Congrès ram Opérateurs, théorie des - Congrès ram Functions of complex variables Congresses Operator theory Congresses Funktionentheorie (DE-588)4018935-1 gnd Operatortheorie (DE-588)4075665-8 gnd |
| topic_facet | Fonctions d'une variable complexe - Congrès Opérateurs, théorie des - Congrès Functions of complex variables Congresses Operator theory Congresses Funktionentheorie Operatortheorie Konferenzschrift 1991 Sapporo |
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