REGULARITY CRITERIA FOR BANACH FUNCTION ALGEBRAS

被引：1
|
作者：
Albrecht, Ernst [1 ]
Athar, Tazeen [2 ]
机构：
[1] Univ Saarland, Fachrichtung Math 6 1, D-66041 Saarbrucken, Germany
[2] COMSATS Inst Informat Technol, Dept Math, Islamabad, Pakistan
来源：
JOURNAL OF OPERATOR THEORY | 2013年 / 70卷 / 01期
关键词：
Banach function algebras; decomposable operators; NORMED ALGEBRAS; SPACE;
D O I：
10.7900/jot.2011may05.1910
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
By means of a variant of a theorem of Yngve Domar we obtain decomposability criteria for bounded linear operators on Banach spaces depending on local growth conditions of the resolvent and local dimension properties of the spectrum. These criteria are then applied to obtain normality and regularity criteria for Banach function algebras of complex ultradifferentiable functions on perfect, compact subsets of the complex plane.
引用
收藏
页码：75 / 107
页数：33
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