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ON HYPONORMALITY OF TOEPLITZ OPERATORS WITH POLYNOMIAL AND SYMMETRIC TYPE SYMBOLS
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 Title & Authors
ON HYPONORMALITY OF TOEPLITZ OPERATORS WITH POLYNOMIAL AND SYMMETRIC TYPE SYMBOLS
Hazarika, Munmun; Phukon, Ambeswar;
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 Abstract
In [6], it was shown that hyponormality for Toeplitz operators with polynomial symbols can be reduced to classical Schur`s algorithm in function theory. In [6], Zhu has also given the explicit values of the Schur`s functions , and . Here we explicitly evaluate the Schur`s function . Using this value we find necessary and sufficient conditions under which the Toeplitz operator is hyponormal, where is a trigonometric polynomial given by
 Keywords
Toeplitz operators;hyponormal operators;trigonometric poly-nomial;
 Language
English
 Cited by
 References
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