Hyponormality of generalised slant weighted Toeplitz operators with polynomial symbols
نویسندگان
چکیده
منابع مشابه
Hyponormality of Toeplitz Operators with Rational Symbols
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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A slant weighted Toeplitz operator Aφ is an operator on L(β) defined as Aφ = WMφ where Mφ is the weighted multiplication operator and W is an operator on L(β) given by We2n = βn β2n en, {en}n∈Z being the orthonormal basis. In this paper, we generalise Aφ to the k-th order slant weighted Toeplitz operator Uφ and study its properties. Keywords—Slant weighted Toeplitz operator, weighted multiplica...
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ژورنال
عنوان ژورنال: Arabian Journal of Mathematics
سال: 2017
ISSN: 2193-5343,2193-5351
DOI: 10.1007/s40065-017-0183-3