engleski

On three concepts of orthogonality in Hilbert C*- modules

In this paper we consider three concepts of orthogonality in a Hilbert C*-module V over a C*- algebra A: the Birkhoff-James orthogonality, the strong Birkhoff-James orthogonality, and the orthogonality with respect to the A-valued inner product on V. We characterize the classes of Hilbert C*-modules in which any two of them coincide.

Hilbert C*-modules ; inner product orthogonality ; Birkhoff-James orthogonality ; strong Birkhoff-James orthogonality

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