A-Browder-type theorems for direct sums of operators

A-Browder-type theorems for direct sums of operators

We study the stability of a-Browder-type theorems for orthogonal direct sums of operators. We give counterexamples which show that in general the properties $(\rm SBaw)$, $(\rm SBab)$, $(\rm SBw)$ and $(\rm SBb)$ are not preserved under direct sums of operators. However, we prove that if $S$ and $T...

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Bibliographic Details
Main Authors: Mohammed Berkani, Mustapha Sarih, Hassan Zariouh
Format: Article
Language:English
Published: Institute of Mathematics of the Czech Academy of Science 2016-04-01
Series:Mathematica Bohemica
Subjects:
property $({\rm SBaw)$
property $(\rm SBab)$
upper semi-B-Weyl spectrum
direct sum}
Online Access:http://mb.math.cas.cz/full/141/1/mb141_1_8.pdf

Internet

http://mb.math.cas.cz/full/141/1/mb141_1_8.pdf

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