Open AccessHyponormality of Toeplitz operators with rational symbols
Author(s) -
In Sung Hwang,
Woo Young Lee
Publication year - 2006
Publication title -
mathematische annalen
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.235
H-Index - 75
eISSN - 1432-1807
pISSN - 0025-5831
DOI - 10.1007/s00208-006-0760-9
Subject(s) - toeplitz matrix , generality , mathematics , rational function , division (mathematics) , pure mathematics , algebra over a field , mathematical economics , discrete mathematics , arithmetic , psychotherapist , psychology
In this article we introduce a notion of 'division' for rational functions and then give a criterion for hyponormality of Tg+f (f;g are rational functions) in the cases where g divides f. Furthermore we show that we may assume, without loss of generality, that g divides f when we consider the hyponormality of Tg+f.
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