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

 

Semigroup properties of factors
in the polar decomposition
or the operator De-Moivre formula


Authors: Ximena Catepillán and Waclaw Szymanski
Journal: Proc. Amer. Math. Soc. 126 (1998), 3521-3526
MSC (1991): Primary 47B20, 47D03
MathSciNet review: 1618713
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Abstract: We give necessary and sufficient conditions under which the factors in the polar decomposition of a semigroup homomorphism are themselves semigroup homomorphisms.


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Additional Information

Ximena Catepillán
Affiliation: Department of Mathematics, Millersville University, Millersville, Pennsylvania 17551
Email: xcatepil@marauder.millersv.edu

Waclaw Szymanski
Affiliation: Department of Mathematics, West Chester University, West Chester, Pennsylvania 19383
Email: wszymans@wcupa.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-98-04952-1
PII: S 0002-9939(98)04952-1
Received by editor(s): January 21, 1997
Communicated by: Palle E. T. Jorgensen
Article copyright: © Copyright 1998 American Mathematical Society