Every uniformly continuous centered semigroup is normal
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- by Mary Embry-Wardrop PDF
- Proc. Amer. Math. Soc. 93 (1985), 501-502 Request permission
Abstract:
A well-known result on commutators of operators is used to prove the assertion in the title.References
- 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
- David C. Kleinecke, On operator commutators, Proc. Amer. Math. Soc. 8 (1957), 535–536. MR 87914, DOI 10.1090/S0002-9939-1957-0087914-4
- 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
- Alan Lambert, A characterization of subnormal operators, Glasgow Math. J. 25 (1984), no. 1, 99–101. MR 731487, DOI 10.1017/S0017089500005474
Additional Information
- © Copyright 1985 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 93 (1985), 501-502
- MSC: Primary 47D05; Secondary 47B47
- DOI: https://doi.org/10.1090/S0002-9939-1985-0774011-2
- MathSciNet review: 774011