Weighted composition operators on algebras of differentiable functions

被引：2

作者：

Amiri, S. ^{[1
]}

Golbaharan, A. ^{[1
]}

Mahyar, H. ^{[1
]}

机构：

[1] Kharazmi Univ, Dept Math, 50,Taleghani Ave, Tehran 15618, Iran

来源：

BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN | 2016年 / 23卷 / 04期

关键词：

Continuously differentiable function algebras; weighted composition operators; compact and Riesz operators; spectra; LIPSCHITZ ALGEBRAS; QUASI-COMPACT; NORMED ALGEBRAS; ENDOMORPHISMS; HOMOMORPHISMS;

D O I：

10.36045/bbms/1480993590

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let X be a perfect compact plane set, n is an element of N and D-n (X) be the algebra of complex-valued functions on X with continuous n-th derivative. In this paper we study weighted composition operators on algebras D-n (X). We give a necessary and sufficient condition for these operators to be compact. As a consequence, we characterize power compact composition operators on these algebras. Then we determine the spectra of Riesz weighted composition operators on these algebras.

引用

页码：595 / 608

页数：14

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