Generalized Browder's and Weyl's Theorems for Generalized Derivations

被引：3
|
作者：
Boasso, Enrico [1 ]
Amouch, Mohamed [1 ]
机构：
[1] Chouaib Doukkali Univ, Fac Sci, Dept Math & Informat, El Jadida, Morocco
来源：
MEDITERRANEAN JOURNAL OF MATHEMATICS | 2015年 / 12卷 / 01期
关键词：
Generalized Browder's and Weyl's theorem; generalized derivation; Drazin spectrum; polaroid operator; isoloid operator; BANACH ALGEBRA ELEMENTS; TENSOR-PRODUCTS; MULTIPLICATION OPERATORS; JOINT SPECTRA;
D O I：
10.1007/s00009-014-0398-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Given Banach spaces and and Banach space operators and , let denote the generalized derivation defined by A and B, i.e., (). The main objective of this article was to study Weyl and Browder type theorems for . To this end, however, first the isolated points of the spectrum and the Drazin spectrum of need to be characterized. In addition, it will be also proved that if A and B are polaroid (respectively, isoloid), then rho is polaroid (respectively isoloid).
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页码：117 / 131
页数：15
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