On the spectrum of multivariable weighted composition operators

被引：2

作者：

Chalendar, Isabelle ^{[1
]}

Flattot, Antoine ^{[1
]}

Guillotin-Plantard, Nadine ^{[1
]}

机构：

[1] Univ Lyon 1, F-69622 Villeurbanne, France

来源：

ARCHIV DER MATHEMATIK | 2008年 / 90卷 / 04期

关键词：

eigenvalue; weighted composition operator; ergodic transformation; rotation;

D O I：

10.1007/s00013-007-2476-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study the point spectrum of the operator T-w,T-tau : L-p([0,1](d)) f proves> w f o tau and where d >= 1, 1 <= p <= infinity, w epsilon L-infinity ([0,1](d)) and tau is an irrational rotation on [0, 1](d). For a particular class of weights w, the point spectrum of T-w,T-tau is shown to be empty, generalizing Davie's result [3], who considered the case p = 2, d = 1.

引用

页码：353 / 359

页数：7