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140122  eng 
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a 9783034887939

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1 

a Gohberg, Israel C.
e [editor]

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a Recent Progress in Operator Theory
h Elektronische Ressource
b International Workshop on Operator Theory and Applications, IWOTA 95, in Regensburg, July 31–August 4,1995
c edited by Israel C. Gohberg, Reinhard Mennicken, Christiane Tretter

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a 1st ed. 1998

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a Basel
b Birkhäuser Basel
c 1998, 1998

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a XIII, 288 p
b online resource

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0 

a 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

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a 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 

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a 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 

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a 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 

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a Operator Theory

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a Operator theory

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a Mennicken, Reinhard
e [editor]

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1 

a Tretter, Christiane
e [editor]

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a SpringerLink (Online service)

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0 
7 
a eng
2 ISO 6392

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b SBA
a Springer Book Archives 2004

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a Operator Theory: Advances and Applications

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u https://doi.org/10.1007/9783034887939?nosfx=y
x Verlag
3 Volltext

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0 

a 515.724

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a 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 previous workshops with reference to their proceedings: 1981 Operator Theory (Santa Monica, California, USA) 1983 Applications of Linear Operator Theory to Systems and Networks (Rehovot, Israel), OT 12 1985 Operator Theory and its Applications (Amsterdam, The Netherlands), OT 19 1987 Operator Theory and Functional Analysis (Mesa, Arizona, USA), OT 35 1989 Matrix and Operator Theory (Rotterdam, The Netherlands), OT 50 1991 Operator Theory and Complex Analysis (Sapporo, Japan), OT 59 1993 Operator Theory and Boundary Eigenvalue Problems (Vienna, Austria), OT 80 IWOTA 95 offered a rich programme on a wide range of latest developments in operator theory and its applications. The programme consisted of 6 invited plenary lectures, 54 invited special topic lectures and more than 100 invited session talks. About 180 participants from 25 countries attended the workshop, more than a third came from Eastern Europe. The conference covered different aspects of linear and nonlinear spectral prob lems, starting with problems for abstract operators up to spectral theory of ordi nary and partial differential operators, pseudodifferential operators, and integral operators. The workshop was also focussed on operator theory in spaces with indefinite metric, operator functions, interpolation and extension problems
