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

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

2011-09-26

arxiv.org/abs/1109.5736v1

Mathematics

Functional Analysis

17 pages

Scientific paper

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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