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TitleOperator Theory and Complex Analysis [electronic resource] : Workshop on Operator Theory and Complex Analysis Sapporo (Japan) June 1991 / edited by T. Ando, I. Gohberg
ImprintBasel : Birkhรคuser Basel : Imprint: Birkhรคuser, 1992
Connect tohttp://dx.doi.org/10.1007/978-3-0348-8606-2
Descript X, 406 p. online resource

CONTENT

Scattering matrices for microschemes -- 1. General expressions for the scattering matrix -- 2. Continuity condition -- References -- Holomorphic operators between Krein spaces and the number of squares of associated kernels -- 0. Introduction -- 1. Realizations of a class of Schur functions -- 2. Positive squares and injectivity -- 3. Application of the Potapov-Ginzburg transform -- References -- On reproducing kernel spaces, the Schur algorithm, and interpolation in a general class of domains -- 1. Introduction -- 2. Preliminaries -- 3. B(X) spaces -- 4. Recursive extractions and the Schur algorithm -- 5. H?(S) spaces -- 6. Linear fractional transformations -- 7. One sided interpolation -- 8. References -- The central method for positive semi-definite, contractive and strong Parrott type completion problems -- 1. Introduction -- 2. Positive semi-definite completions -- 3. Contractive completions -- 4. Linearly constrained contractive completions -- References -- Interpolation by rational matrix functions and stability of feedback systems: The 4-block case -- 1. Preliminaries -- 2. A homogeneous interpolation problem -- 3. Interpolation problem -- 4. Parametrization of solutions -- 5. Interpolation and internally stable feedback systems -- References -- Matricial coupling and equivalence after extension -- 1. Introduction -- 2. Coupling versus equivalence -- 3. Examples -- 4. Special classes of operators -- References -- Operator means and the relative operator entropy -- 1. Introduction -- 2. Origins of operator means -- 3. Operator means and operator monotone functions -- 4. Operator concave functions and Jensenโ{128}{153}s inequality -- 5. Relative operator entropy -- References -- An application of Furutaโ{128}{153}s inequality to Andoโ{128}{153}s theorem -- 1. Introduction -- 2. Operator functions -- 3. Furutaโ{128}{153}s type inequalities -- 4. An application to Andoโ{128}{153}s theorem -- References -- Applications of order preserving operator inequalities -- 0. Introduction -- 1. Application to the relative operator entropy -- 2. Application to some extended result of Andoโ{128}{153}s one -- References -- The band extension of the real line as a limit of discrete band extensions, I. The main limit theorem -- 0. Introduction -- I. Preliminaries and preparations -- II. Band extensions -- III. Continuous versus discrete -- References -- Interpolating sequences in the maximal ideal space of H? II -- 1. Introduction -- 2. Condition (A2) -- 3. Condition (A3) -- 4. Condition (A1) -- References -- Operator matrices with chordal inverse patterns -- 1. Introduction -- 2. Entry formulae -- 3. Inertia formula -- References -- Models and unitary equivalence of cyclic selfadjoint operators in Pontrjagin spaces -- 1. The class F of linear functionals -- 2. The Pontrjagin space associated with ? ? F -- 3. Models for cyclic selfadjoint operators in Pontrjagin spaces -- 4. Unitary equivalence of cyclic selfadjoint operators in Pontrjagin spaces -- References -- The von Neumann inequality and dilation theorems for contractions -- 1. The von Neumann inequality and strong unitary dilation -- 2. Canonical representation of completely contractive maps -- 3. An effect of generation of nuclear algebras -- References -- Interpolation problems, inverse spectral problems and nonlinear equations -- References -- Extended interpolation problem in finitely connected domains -- I. Matrices and transformation formulas -- II. Disc Cases -- III. Domains of finite connectivity -- References -- Accretive extensions and problems on the Stieltjes operator-valued functions relations -- 1. Accretive and sectorial extensions of the positive operators, operators of the class C(?) and their parametric representation -- 2. Stieltjes operator-valued functions and their realization -- 3. M.S. Livsic triangular model of the M-accretive extensions (with real spectrum) of the positive operators -- 4. Canonical and generalized resolvents of QSC-extensions of Hermitian contractions -- References -- Commuting nonselfadjoint operators and algebraic curves -- 1. Commuting nonselfadjoint operators and the discriminant curve -- 2. Determinantal representations of real plane curves -- 3. Commutative operator colligations -- 4. Construction of triangular models: Finite-dimensional case -- 5. Construction of triangular models: General case -- 6. Characteristic functions and the factorization theorem -- References -- All (?) about quasinormal operators -- 1. Introduction -- 2. Representations -- 3. Spectrum and multiplicity -- 4. Special classes -- 5. Invariant subspaces -- 6. Commutant -- 7. Similarity -- 8. Quasisimilarity -- 9. Compact perturbation -- 10. Open problems -- References -- Workshop Program -- List of Participants


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