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On The Uniqueness of The Strongly Irreducible Decompositions of Operators up to Similarity

Published 26 Sep 2011 in math.FA | (1109.5736v1)

Abstract: We give a generalization of the Jordan canonical form theorem for a class of bounded linear operators on complex separable Hilbert spaces in terms of direct integrals. Precisely, we study the uniqueness of strongly irreducible decompositions of the operators on the Hilbert spaces up to similarity.

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