On The Uniqueness of The Strongly Irreducible Decompositions of   Operators up to Similarity
  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. 
Rui Shi
math.FA