PASSAGE OF PROPERTY (aw) FROM TWO OPERATORS TO THEIR TENSOR PRODUCT

被引：0

作者：

Rashid, M. H. M. ^{[1
]}

机构：

[1] Mutah Univ, Fac Sci, Dept Math & Stat, POB 7, Al Karak, Jordan

来源：

KRAGUJEVAC JOURNAL OF MATHEMATICS | 2018年 / 42卷 / 03期

关键词：

Tensor Product; property (aw); perturbation; SVEP;

D O I：

10.5937/KgJMath1803389R

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A Banach space operator S satisfies property (aw) if sigma(S) \ sigma(w) (S) = E-a(0)(S), where E-a(0)(S) is the set of all isolated point in the approximate point spectrum which are eigenvalues of finite multiplicity. Property (aw) does not transfer from operators A and B to their tensor product A circle times B, so we give necessary and/or sufficient conditions ensuring the passage of property (aw) from A and B to A circle times B. Perturbations by Riesz operators are considered.

引用

页码：389 / 398

页数：10

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