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Titlebook: Algebraic Methods in Operator Theory; Raúl E. Curto,Palle E. T. Jørgensen Conference proceedings 1994 Springer Science+Business Media New

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Berezin-Toeplitz Quantizationtroduced in a series of papers by F. A. Berezin [B., B., B.]. Subsequently, C. A. Berger and I undertook a detailed analytic study of Berezin’s operators in order to find an analog of the classical symbol calculus of pseudo-differential operators. In a series of papers [BC., BC., BC.], we dissected
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Normal Elements of a Simple C*-Algebrae following elementary invariants: the spectrum of the element, the measure on its spectrum arising from each trace (or quasitrace) on the algebra, the K.-class of the spectral projection associated to each compact component of the spectrum together with the information whether the sum of these proj
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The Generalized Weyl-von Neumann Theorem and C*-algebra Extensionsare unital and the surjective map from . to . is also unital. Furthermore, we assume that extensions are essential, i.e. . may be viewed as an essential ideal of .. The .-theory classifies those extensions when . = . and . = .(.), where . is the .*-algebra of compact operators on an infinite dimensi
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On the Commutant Lifting Theorem and Hankel OperatorsIn this note we give another proof of the commutant lifting theorem (see) [6] and [7]), based on the Adamjan-Arov-Krein techniques introduced in [1]. We then apply the construction given in Theorem 1 below to obtain a generalization of a result in [2] (see also [4]).
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Elementary operators and subalgebrasIn this note, we construct an elementary operator on .(.) of length two which leaves invariant a nontrivial triangular subalgebra of .(.) but which cannot be written as a finite sum of elementary operators of length one that each leave the triangular subalgebra invariant.
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