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

页码：1297 / 1303

页数：7

共 18 条

[1] Property (w) for perturbations of polaroid operators [J].