Title | The Gohberg Anniversary Collection [electronic resource] : Volume I: The Calgary Conference and Matrix Theory Papers and Volume II: Topics in Analysis and Operator Theory / edited by H. Dym, S. Goldberg, M. A. Kaashoek, P. Lancaster |
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Imprint | Basel : Birkhรคuser Basel : Imprint: Birkhรคuser, 1989 |
Connect to | http://dx.doi.org/10.1007/978-3-0348-9144-8 |
Descript | XVIII, 1041 p. online resource |
Editorial Preface -- A: The Calgary Conference, honoring Israel Gohberg -- Portrait I. Gohberg -- Acknowledgements -- The Calgary Conference Program -- 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 Bรฉzoutians, 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 Kurodaโs 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 Mรถbius-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