Titlebook: Nonselfadjoint Operators and Related Topics; Workshop on Operator A. Feintuch,I. Gohberg Conference proceedings 1994 Springer Basel AG 1994

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Rules for Computer Simplification of the Formulas in Operator Model Theory and Linear Systems,or models. Operator model theory originated with Moshe Livsic and subsequently became one of the main branches of operator theory. In studying a particular operator model polynomials in certain expressions occur repeatedly. This makes it a natural area for exploring computer algebra simplification.

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Mosaic

Conservative Dynamical Systems and Nonlinear Livsic-Brodskii Nodes,ld .(.) defining the internal dynamics for the system replaces the linear operator . appearing in the linear theory. We show that under certain hypotheses two vector fields leading to the same Livsic-Brodskii characteristic input-outmap map are equivalent via an energy-preserving diffeomorphic chang

Extemporize

Relations of Linking and Duality between Symmetric Gauge Functions,r compact Hilbert-space operators. The variety of norms which can be of interest is greater than might have been anticipated. We will recall later in this Section some of the processes by which new u.i. norms or s.g.f. can be concocted, and some of the motivations for taking advantage of these possi

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Shifts, Realizations and Interpolation, Redux,ntral, though oft unrecognized, role in many problems of analysis. In this paper we shall review a number of applications of such spaces: to realization theory, to finite dimensional reproducing kernel Hilbert (and Krein) spaces, to interpolation theory, and to the Livšic theory of characteristic fu

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Bureaucracy

Entire Cyclic Cohomology of Banach Algebras, is an infinite dimensional version of cyclic cohomology. The technical complications of this subject are severe and consequently some of the fundamental properties that one would expect have until now been conjectural. We report on some recent results in this area, notably Morita and homotopy invar

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The Bounded Real Characteristic Function and Nehari Extensions,ded real unction a stable function. The definition is based on normalized coprime factorizations of bounded real functions, the normalization being with respect to an indefinite metric. The construction bears great similarity to the characteristic functions studied in Fuhrmann and Ober [1993] for ot

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