Recent Progress in Operator Theory : International Workshop on Operator Theory and Applications, IWOTA 95, in Regensburg, July 31–August 4,1995
This and the previous volume of the OT series contain the proceedings of the Workshop on Operator Theory and its Applications, IWOTA 95, which was held at the University of Regensburg, Germany, July 31 to August 4, 1995. It was the eigth workshop of this kind. Following is a list of the seven previo...
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Format:  eBook 
Language:  English 
Published: 
Basel
Birkhäuser Basel
1998, 1998

Edition:  1st ed. 1998 
Series:  Operator Theory: Advances and Applications

Subjects:  
Online Access:  
Collection:  Springer Book Archives 2004  Collection details see MPG.ReNa 
Table of Contents:
 Fredholm theory of interpolation morphisms
 1. Introduction
 2. Fredholm theory in a paraalgebra of interpolation morphisms
 3. Interpolation of Fredholm elements
 4. Perturbation results for the real interpolation methods
 References
 Resolvents of symmetric operators and the degenerated NevanlinnaPick problem
 1. Introduction
 2. Straus extensions
 3. The uresolvents of S
 4. The degenerated NevanlinnaPick problem
 5. Explicit formulas
 References
 Perturbation of linear semigroups
 1. Introduction
 2. Essential spectral radius for perturbed semigroups
 References
 On the approximation of operators and the convergence of the spectra of the approximants
 1. Introduction
 2. The main result
 3. Auxiliary results and proofs
 References
 6. Schur complements of Qfunctions
 7. Nevanlinna functions and exit spaces
 References
 Properties of “derived” Hankel matrices
 1. Introduction
 2. Representations of mderived Hankel matrices
 3. Vandermonde factorization
 4. Generating functions and Bezoutians
 5. Triangular derived Hankel matrices
 References
 The probability that a (partial) matrix is positive semidefinite
 1. Introduction
 2. The case of full matrices
 3. The case of partial matrices
 4. The probability of the existence of a positive semidefinite completion
 References
 Factorization of lower triangular unitary operators with finite Kronecker index into elementary factors
 1. Introduction
 2. Unitary time varying systems
 3. Observability and controllability of unitary time varying systems
 4. A realization theorem
 5. Cascade connection and factorization
 6. Proof of Theorems 1.1 and 1.2
 7. Main theorems for operators in the class LK
 References
 4. Appendix
 References
 On nonnegative realizations of rational matrix functions and nonnegative inputoutput systems
 1. Introduction
 2. Nonnegative realizations of rational matrix functions
 3. Nonnegative input output systems
 4. Appendix
 References
 On the geometric structure of regular dilations
 1. Notations and preliminaries
 2. The structure of regular and *regular isometric dilations
 3. Functional model and maximal function for a bicontraction having a *regular dilation
 References
 On generalized interpolation and shift invariant maximal semidefinite subspaces
 1. Introduction
 2. Preliminaries
 3. Generalized interpolation
 4. The bitangential NevanlinnaPick problem
 References
 The sum of matrix Nevanlinna functions and selfadjoint extensions in exit spaces
 1. Introduction
 2. Nevanlinna pairs
 3. Kre 61 n’s formula
 4. The sum of Qfunctions
 5. The orthogonal sum of SturmLiouville operators
 Inversion formulas for compressions of blockToeplitz operators
 1. Introduction
 2. Main results
 3. Inversion formulas for blockToeplitz and blockPick matrices
 4. Inversion formulas for blockToeplitz integral operators in 51 (0, a) (a < ?)
 References
 Contractive linear relations in Pontryagin spaces
 1. Introduction
 2. Contractive linear relations
 3. Regularization
 4. Criteria for maximality
 5. Properties of maximal contractive linear relations
 6. Invariant subspaces
 References
 On a new algorithm for almost periodic factorization
 1. Introduction
 2. Known results
 3. The reduction procedure
 4. Matrices with regular Fourier spectra
 5. Repeated use of the reduction procedure
 6. Trinomial f
 7. Block matrix generalizations
 8. Final remarks
 References
 On the normal solvability of cohomological equations on compact topological spaces
 1. Introduction
 2. Dynamical lemmas
 3. Proof of the Main Theorem