On operators with spectrum in Cantor sets and spectral synthesis

被引：1

作者：

Zarrabi, Mohamed ^{[1
]}

机构：

[1] Univ Bordeaux, Inst Math Bordeaux, UMR 5251, 351 Cours Liberat, F-33405 Talence, France

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2018年 / 462卷 / 01期

关键词：

Operators; Growth of powers of operators; Spectral synthesis; Cantor sets; COUNTABLE SPECTRUM; CONTRACTIONS; UNIQUENESS; SUBSPACES; SPACES;

D O I：

10.1016/j.jmaa.2018.01.079

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we investigate the behavior of powers of operators with spectrum contained in the Cantor sets. As consequence we show that the Cantor sets satisfy spectral synthesis in a large class of weighted Beurling algebras. (C) 2018 Published by Elsevier Inc.

引用

页码：764 / 776

页数：13

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