شماره ركورد كنفرانس :
4338
عنوان مقاله :
Asymptotically Toeplitzness of weighted composition operators
پديدآورندگان :
Salehi Sarvestani Massoud m.salehisarvestani@gmail.com Department of Mathematics,
West Tehran Branch,
Islamic Azad University,
Tehran, Iran;
, Amini Massoud mamini@modares.ac.ir Department of Pure Mathematics, Faculty of Mathematical Sciences University of Tarbiat Modares,
Tehran, Iran;
كليدواژه :
Hardy space , Toeplitz operator , asymptotically Toeplitz operator , weighted composition operator
عنوان كنفرانس :
سومين سمينار ملي نظريه عملگرها و كاربردهاي آن
چكيده فارسي :
For a bounded analytic map $\psi$ on the unit disk $\mathbb D$ and analytic self-map $\varphi$ of $\mathbb D$, a weighted composition operator $C_{\psi,\varphi}$ on the Hardy space $H^2=H^2(\mathbb D)$ is defined by $C_{\psi,\varphi}f=\psi . f\circ \varphi $. Hear we study the asymptotically Toeplitzness of weighted composition operators and their adjoints in different topology on $B(H^2)$. For example we show $C_{\psi,\varphi}$ is Toeplitz if and only if it is the Toeplitz operator $T_{\psi}$ and is uniformly asymptotically Toeplitz (UAT) when this operator is compact or Toeplitz.
