Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



A subnormal semigroup without normal extension

Author: Arthur Lubin
Journal: Proc. Amer. Math. Soc. 68 (1978), 176-178
MSC: Primary 47B20; Secondary 47D05
MathSciNet review: 0500264
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Abstract: Theorem 1. There exists a subnormal semigroup with no commuting normal extension. Theorem 2. There exist two commuting quasinormal operators without commuting normal extension.

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Keywords: Subnormal operator, quasi-normal operator, commuting normal extension, subnormal semigroup
Article copyright: © Copyright 1978 American Mathematical Society