Titlebook: Operator Algebras and Applications; Aristides Katavolos Book 1997 Springer Science+Business Media Dordrecht 1997 C*-algebra.algebra.cohomo

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Polynomially Bounded Operators, A Survey,e is similar to a contraction (an operator with norm at most one). In the usual fashion of mathematics, Sz. Nagy proposed a simple criterion as a conjecture. This first attempt was proven wrong, to be replaced by another more sophisticated one popularized by Halmos. This problem was the seed for man

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Operator Analogues of Locally Convex Spaces,rs, and they may be regarded as the “quantized” or “operator” analogues of locally convex spaces. It is shown that for nuclear spaces, the maximal and minimal quantizations coincide. Thus in a striking contrast to normed spaces, a nuclear space has precisely one quantization. Furthermore, it is show

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Finitely-Presented ,*-Algebras,the development of a general theory of finitely-presented C*-algebras. (The papers [.], [.], [.], [.], [.] and [.] touch on the topic, although this list is by no means complete.) In this Note, we shall pose a few problems about such algebras, indicate the progress that has been made towards solving

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Von Neumann Algebras and Wavelets, space. The local (or “point”) commutant of a system at a vector ψ is the set of all bounded linear operators which commute with each element of the system locally at ψ. In the theory we shall develop, we will show that in the standard one-dimensional dyadic orthonormal wavelet theory the local comm

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Partly Self-Adjoint Limit Algebras,r C*-algebra isomorphism. On the other hand the classification of partly self-adjoint limit algebras is less well understood. We survey some of the main techniques and results in this area that have appeared in recent years. In particular we consider limits of cycle algebras (joint work with A.P. Do

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Operator Algebras Over ,*-Correspondences,.-algebras, called tensor algebras. We shall discuss the representations of these algebras and present some results and examples. In section 1 we present sufficient conditions for the simplicity of Cuntz-Pimsner algebras and in section 2 we discuss dilations and extensions of representations of the

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