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ON COMMUTATIVITY OF THE COMMUTANT OF STRONGLY IRREDUCIBLE OPERATOR.

Authors :
JUE-XIAN LI
Source :
Proceedings of the American Mathematical Society. Jan2012, Vol. 140 Issue 1, p167-171. 5p.
Publication Year :
2012

Abstract

In 2006, C. L. Jiang and Z. Y. Wang posed an open problem: If T is a strongly irreducible operator, is A'(T)/rad.A_(T) commutative? They conjectured that the answer is positive. In this paper, to negatively answer their problem, a counterexample is given. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00029939
Volume :
140
Issue :
1
Database :
Academic Search Index
Journal :
Proceedings of the American Mathematical Society
Publication Type :
Academic Journal
Accession number :
67267634
Full Text :
https://doi.org/10.1090/s0002-9939-2011-11118-3