Orthogonality Hilbert A-modules and operators preserving multi-A-linearity

Abstract

In this paper we present results concerning orthogonality in Hilbert $C^{\ast }$-modules. Moreover, for a $C^{\ast }$-algebra $\mathcal{A}$, we prove theorems concerning the multi-$\mathcal{A}$-linearity and its preservation by $\mathcal{A}$-linear operators. New version of solution of the orthogonality equation on Hilbert $C^{\ast }$-modules and mappings preserving orthogonality are also investigated.

13 pages

References in corpus (1)

• Angle Preserving Mappings