engleski

On (strong) Birkhoff-James orthogonality in Hilbert C*-modules

In this talk, we present some results on the Birkhoff–James orthogonality and its strong version in Hilbert C*-modules. We describe the class of full Hilbert C*-modules in which the (strong) Birkhoff–James orthogonality is a symmetric relation. We also characterize the class of (surjective) linear mappings Φ : B(H) → B(H) that preserve the (strong) Birkhoff– James orthogonality.

Birkhoff-James orthogonality ; orthogonality preservers

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