Operator theory and complex analysis

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Veröffentlicht: Basel u.a. Birkhäuser 1992
Schriftenreihe:Operator theory 59
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Datensatz im Suchindex

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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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publishDate 1992
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series Operator theory
series2 Operator theory
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
url 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
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