Linear maps preserving $A$-unitary operators

Let $\mathcal{H}$ be a complex Hilbert space, $A$ a positive operator with closed range in $\mathscr{B}(\mathcal{H})$ and $\mathscr{B}_A(\mathcal{H})$ the sub-algebra of $\mathscr{B}(\mathcal{H})$ of all $A$-self-adjoint operators. Assume $\phi \mathscr{B}_A(\mathcal{H})$ onto itself is a linear co...

Full description

Bibliographic Details
Main Authors: Abdellatif Chahbi, Samir Kabbaj, Ahmed Charifi
Format: Article
Language:English
Published: Institute of Mathematics of the Czech Academy of Science 2016-04-01
Series:Mathematica Bohemica
Subjects:
Online Access:http://mb.math.cas.cz/full/141/1/mb141_1_4.pdf