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Workshop on Operator Theory and Complex Analysis: Sapporo, Japan, June 1991

Workshop on Operator Theory and Complex Analysis: Sapporo, Japan, June 1991

          
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About the Book

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 Jensen's inequality.- 5. Relative operator entropy.- References.- An application of Furuta's inequality to Ando's theorem.- 1. Introduction.- 2. Operator functions.- 3. Furuta's type inequalities.- 4. An application to Ando'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 Ando'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.-...


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Product Details
  • ISBN-13: 9783764328245
  • Publisher: Birkhauser
  • Binding: Hardback
  • Language: English
  • Returnable: Y
  • Spine Width: 24 mm
  • Weight: 865 gr
  • ISBN-10: 376432824X
  • Publisher Date: 01 Dec 1992
  • Height: 244 mm
  • No of Pages: 420
  • Series Title: Operator Theory: Advances and Applications
  • Sub Title: Sapporo, Japan, June 1991
  • Width: 170 mm


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Workshop on Operator Theory and Complex Analysis: Sapporo, Japan, June 1991
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