Title of article
On linear maps preserving generalized invertibility and related properties
Author/Authors
Nadia Boudi ?، نويسنده , , Youness Hadder، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2008
Pages
6
From page
20
To page
25
Abstract
Let H be an infinite-dimensional complex Hilbert space, B(H) be the algebra of all
bounded linear operators on H. We study surjective linear maps on B(H) preserving
generalized invertibility. We also investigate surjective linear maps preserving Fredholm
(respectively, semi-Fredholm) operators. Our results improve those of Mbekhta, Rodman
and Šemrl.
Keywords
Hilbert spaceGeneralized inverseClosed rangeSemi-Fredholm operatorsJordan homomorphismLinear preserver problems
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2008
Journal title
Journal of Mathematical Analysis and Applications
Record number
937271
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