Property (Bb) and Tensor product

被引：1
|
作者：
Rashid, M. H. M. [1 ]
Prasad, T. [2 ]
机构：
[1] Mutah Univ, Fac Sci, Dept Math, Al Karak, Jordan
[2] Govt Arts Coll Autonomous, Dept Math, Coimbatore 641018, Tamil Nadu, India
来源：
FILOMAT | 2013年 / 27卷 / 07期
关键词：
Property (Bw); Property (Bb); SVEP; tensor product; WEYLS THEOREM; GENERALIZED BROWDERS; POLAROID OPERATORS; PERTURBATIONS;
D O I：
10.2298/FIL1307297R
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we find necessary and sufficient conditions for Banach Space operator to satisfy the property (Bb). Then we obtain, if Banach Space operators A is an element of B(X) and B is an element of B(Y) satisfy property (Bb) implies A circle times B satisfies property (Bb) if and only if the B-Weyl spectrum identity sigma BW(A circle times B) = sigma(BW)(A)sigma(B)boolean OR sigma(BW)(B)sigma(A) holds. Perturbations by Riesz operators are considered.
引用
收藏
页码：1297 / 1303
页数：7
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