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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Commutativity of unbounded representations


Author: Schōichi Ōta
Journal: Proc. Amer. Math. Soc. 117 (1993), 1051-1056
MSC: Primary 46K10; Secondary 47D40
MathSciNet review: 1145950
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Abstract: We introduce the notion of commutativity for unbounded representations of a $ {\ast}$-algebra, and we study integrable or selfadjoint extensions, with a condition of the commutativity, of a representation.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1993-1145950-2
PII: S 0002-9939(1993)1145950-2
Keywords: Unbounded representation, strong commutativity, commuting extension, induced representation
Article copyright: © Copyright 1993 American Mathematical Society