Semigroup properties of factors in the polar decomposition or the operator De-Moivre formula
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- by Ximena Catepillán and Wacław Szymański PDF
- Proc. Amer. Math. Soc. 126 (1998), 3521-3526 Request permission
Abstract:
We give necessary and sufficient conditions under which the factors in the polar decomposition of a semigroup homomorphism are themselves semigroup homomorphisms.References
- Mary R. Embry, A generalization of the Halmos-Bram criterion for subnormality, Acta Sci. Math. (Szeged) 35 (1973), 61–64. MR 328652
- Mary Embry-Wardrop, The partially isometric factor of a semigroup, Indiana Univ. Math. J. 32 (1983), no. 6, 893–901. MR 721571, DOI 10.1512/iumj.1983.32.32061
- Tosio Kato, Spectral order and a matrix limit theorem, Linear and Multilinear Algebra 8 (1979/80), no. 1, 15–19. MR 548670, DOI 10.1080/03081087908817295
- Bernard B. Morrel and Paul S. Muhly, Centered operators, Studia Math. 51 (1974), 251–263. MR 355658, DOI 10.4064/sm-51-3-251-263
- Wacław Szymański, Dilations and subnormality, Proc. Amer. Math. Soc. 101 (1987), no. 2, 251–259. MR 902537, DOI 10.1090/S0002-9939-1987-0902537-9
Additional Information
- Ximena Catepillán
- Affiliation: Department of Mathematics, Millersville University, Millersville, Pennsylvania 17551
- Email: xcatepil@marauder.millersv.edu
- Wacław Szymański
- Affiliation: Department of Mathematics, West Chester University, West Chester, Pennsylvania 19383
- Email: wszymans@wcupa.edu
- Received by editor(s): January 21, 1997
- Communicated by: Palle E. T. Jorgensen
- © Copyright 1998 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 126 (1998), 3521-3526
- MSC (1991): Primary 47B20, 47D03
- DOI: https://doi.org/10.1090/S0002-9939-98-04952-1
- MathSciNet review: 1618713