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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Hyponormal Toeplitz operators and extremal problems of Hardy spaces


Authors: Takahiko Nakazi and Katsutoshi Takahashi
Journal: Trans. Amer. Math. Soc. 338 (1993), 753-767
MSC: Primary 47B35; Secondary 30D55, 47B20
MathSciNet review: 1162103
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Abstract: The symbols of hyponormal Toeplitz operators are completely described and those are also studied, being related with the extremal problems of Hardy spaces. Moreover, we discuss Halmos's question about a subnormal Toeplitz operator when the self-commutator is finite rank.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1993-1162103-7
PII: S 0002-9947(1993)1162103-7
Keywords: Hyponormal operator, subnormal operator, Toeplitz operator, Hardy Space, extremal problem
Article copyright: © Copyright 1993 American Mathematical Society