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Proceedings of the American Mathematical Society

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

 

 

The absolute continuity of a class of Toeplitz operators


Author: Marvin Rosenblum
Journal: Proc. Amer. Math. Soc. 38 (1973), 537-540
MSC: Primary 47B35
DOI: https://doi.org/10.1090/S0002-9939-1973-0313866-4
MathSciNet review: 0313866
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Abstract: It is shown that certain generalized Toeplitz operators are the real parts of subnormal operators that have no normal part, and hence are absolutely continuous. It follows that the Toeplitz operators associated with the real parts of nonconstant bounded holomorphic functions in the polydisc are absolutely continuous.


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DOI: https://doi.org/10.1090/S0002-9939-1973-0313866-4
Keywords: Toeplitz operator, subnormal operator, absolutely continuous operator
Article copyright: © Copyright 1973 American Mathematical Society