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

Jointly quasinormal isometries


Authors: Mary Embry-Wardrop and Richard J. Fleming
Journal: Proc. Amer. Math. Soc. 97 (1986), 463-464
MSC: Primary 47B20; Secondary 47A56
MathSciNet review: 840630
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Abstract: If $ U$ and $ V$ are isometries each of which commutes with $ {U^*}V$ and $ {V^*}U$, then a necessary and sufficient condition that $ U$ and $ V$ commute is that the ranges of $ U$ and $ V$ are equal. This result leads to the construction of a subnormal-valued analytic function which has no normal extension.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1986-0840630-9
PII: S 0002-9939(1986)0840630-9
Article copyright: © Copyright 1986 American Mathematical Society