Indexed by: Journal Article
Date of Publication: 2014-01-01
Journal: Houston Journal of Mathematics
Included Journals: SCIE
Volume: 40
Issue: 2
Page Number: 447-465
ISSN: 0362-1588
Key Words: Strongly irreducible operator; von Neumann algebra; Ko group; direct integral
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.