Titlebook: Topics in Modern Operator Theory; 5th International Co C. Apostol,R. G. Douglas,Gr. Arsene Book 1981 Springer Basel AG 1981 analytic functi

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On Closed Operator Algebras Generated by Analytic Functional Calculi,le or quasi-decomposable. In particular, we obtain semisimplicity criteria which generalize a corresponding result for the closed full algebra generated by a spectral operator resp. by a decomposable operator due to U. Fix-man and L. Tzafriri resp. F.-H. Vasilescu.

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On the Smoothness of Elements of Ext,.(.) is the C*-algebra of compact operators on the complex separable Hilbert space .. In this note we want to consider some questions concerning the fine analytical structure of such extensions. The partial answers seem sufficient to suggest that further study would be worthwhile.