شماره ركورد كنفرانس :
4338
عنوان مقاله :
Some recent results on the numerical ranges of composition operators`
پديدآورندگان :
Abdollahi Farshid abdollahi@shirazu.ac.ir Department of Mathematics, Shiraz University, Shiraz, Iran;
كليدواژه :
Hardy space , block Toeplitz , Guyker basis , composition operator , Numerical range
عنوان كنفرانس :
سومين سمينار ملي نظريه عملگرها و كاربردهاي آن
چكيده فارسي :
In this paper, some recent results on the numerical ranges of composition operators on the Hardy space are presented. Also, we show that the matrix representation of a self-inverse composition operator on the Hardy space with respect to the Guyker\\\\s basis is a block Toeplitz operator, and by using this representation, we determine the shape of the numerical range of such operators.