The Gohberg Anniversary Collection: Volume I: The Calgary Conference and Matrix Theory Papers and Volume II: Topics in Analysis and Operator Theory

The Gohberg Anniversary Collection: Volume I: The Calgary Conference and Matrix Theory Papers and Volume II: Topics in Analysis and Operator Theory

Paperback(Softcover reprint of the original 1st ed. 1989)

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Product Details

ISBN-13: 9783034899246
Publisher: Birkh�user Basel
Publication date: 02/05/2014
Series: Operator Theory: Advances and Applications , #40
Edition description: Softcover reprint of the original 1st ed. 1989
Pages: 1041
Product dimensions: 6.69(w) x 9.61(h) x (d)

Table of Contents

Editorial Preface.- A: The Calgary Conference, honoring Israel Gohberg.- Portrait I. Gohberg.- Acknowledgements.- The Calgary Conference Program.- Conference picture.- Speech of R.S. Phillips, introducing Israel Gohberg.- I. Gohberg.- Mathematical tales.- Four generations.- Gohberg Miscellanea.- The Early Years, by S. Goldberg.- Reminiscences, by M. G. Krein.- Letter of A. Markus, N. Krupnik and I. Feldman.- Speech of R. Duduchava, delivered at the banquet.- My Years in Kishinev, by G. Heinig.- First Meeting, by S. Goldberg.- From Two Sides, by L. Lerer.- Israel Gohberg at Tel-Aviv University, byD. Amir.- Letter of B. Trachtenbrot.- The Dutch Connection, M.A. Kaashoek.- Speech of L. Frank, delivered during the conference.- Gohberg in Canada, P. Lancaster.- Israel at the Weizmann Institute, H. Dym.- Letter of B. Khvedelidze, read at the banquet.- Speech of M. M. Drzjabashian, delivered at the banquet.- I. Gohberg with (some of) his co-authors.- I. Gohberg and (former) students.- Curriculum Vitae.- List of Publications.- B: Papers on Matrix Theory and its Applications.- Some matrix inequalities in multiport network connections.- Complementary triangular forms of upper triangularToeplitz matrices.- Comparing a matrix to its off-diagonal part.- Ranks of completions of partial matrices.- Finite dimension problems in operator theory.- Matrices with displacement structure, generalized Bézoutians, and Moebius transformations.- Generalized Gohberg-Semencul formulas for matrix inversion.- Variational properties and Rayleigh quotient algorithms for symmetric matrix pencils.- The matrix quadratic equation and factorization of matrix polynomials.- Inversion of partially specified positive definite matrices by inverse scattering.- Fast and efficient parallel inversion of Toeplitz and block Toeplitz matrices.- Stability of invariant lagrangian subspaces II.- On strong ?-stability of invariant subspaces of matrices.- On classification of invariant subspaces of a linear operator.- On the inverse of block tridiagonal matrices with applications to the inverses of band matrices and block band matrices.- Divisibility relations satisfied by the invariant factors of a matrix product.- Duality methods for the boundary control of some evolution equations.- Unitary extensions of isometries and contractive intertwining dilations.- Factorization and general properties of nonlinear Toeplitz operators.- Quasilocal algebras over index sets with a minimal condition.- The analogue of Kuroda’s theorem for n-tuples.- The geometry of representing measures and their critical values.- Boundary element analysis of a direct method for the biharmonic Dirichlet problem.- Nonlinear lifting theorems, integral representations and stationary processes in algebraic scattering systems.- Characteristic functions of unitary colligations and of bounded operators in Krein spaces.- Differential operators of fractional order and boundary value problems in the complex domain.- On reproducing kernel spaces, J unitary matrix functions, interpolation and displacement rank.- On asymptotic Toeplitz and Hankel operators.- Iterative commutant lifting for systems with rational symbol.- On the reduction of coercive singular perturbations to regular perturbations.- Averaging techniques for the transport operator and an existence theorem for the BGK equation in kinetic theory.- Factorization of nonlinear system.- Minimal lower separable representations: characterization and construction.- On the inclination of hyperinvariant subspaces of C11-contractions.- Unimodular Möbius-invariant contractive divisors for the Bergman space.- Trigonometric approximation of solutions of periodic pseudodifferential equations.- Wiener-Hopf factorization of certain non-rational matrix functions in mathematical physics.- Classes of operator monotone functions ans Stieltjes functions.- A unified approach to function models, and the transcription problem.- Quadrature methods for strongly elliptic Cauchy singular integral equations on an interval.- General Wiener-Hopf operators and representation of their generalized inverses.- Exposed points in H1, I.- Geometrical properties of a unit sphere of the operator spaces in Lp.- C*-algebras of Crystal groups.- On Wiener-Hopf determinants.

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