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On a generalization of the Jordan canonical form theorem on separable Hilbert spaces
Author:
Rui Shi
Journal:
Proc. Amer. Math. Soc. 140 (2012), 1593-1604
MSC (2010):
Primary 47A65, 47A67; Secondary 47A15, 47C15
Posted:
December 20, 2011
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Additional Information
Abstract: We prove a generalization of the Jordan canonical form theorem for a class of bounded linear operators on complex separable Hilbert spaces.
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Additional Information
Rui Shi
Affiliation:
School of Mathematical Sciences, Dalian University of Technology, Dalian, 116024, People’s Republic of China
Email:
littlestoneshg@gmail.com
DOI:
http://dx.doi.org/10.1090/S0002-9939-2011-11513-2
PII:
S 0002-9939(2011)11513-2
Keywords:
Strongly irreducible operator,
masa,
direct integral
Received by editor(s):
October 27, 2010
Received by editor(s) in revised form:
December 18, 2010
Posted:
December 20, 2011
Additional Notes:
The author was supported in part by NSFC Grant #10731020 and NSFC Grant #10901046.
Communicated by:
Richard Rochberg
Article copyright:
© Copyright 2011 American Mathematical Society
The copyright for this article reverts to public domain after
28 years from publication.
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