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On preservers of strong Birkhoff-James orthogonality between -algebras
Bojan Kuzma, Srdjan Stefanović, Ryotaro Tanaka
It is shown that every linear strong Birkhoff-James isomorphism between unital -algebras is a -isomorphism followed by a unitary multiplication. Moreover, as a partial exte…
Isomorphisms of Birkhoff-James orthogonality on finite-dimensional -algebra
Bojan Kuzma, Srdjan Stefanović
We classify bijective maps which strongly preserve Birkhoff-James orthogonality on a finite-dimensional complex -algebra. It is shown that those maps are close to being real-l…
Diameter of the -orthograph in finite dimensional -algebras
Srdjan Stefanović
We determine the exact diameter of the orthograph related to mutual strong Birkhoff-James orthogonality in arbitrary finite dimensional -algebra. Additionally, we will estim…
Isolated vertices and diameter of the -orthograph in -algebras
Dragoljub J. Kečkić, Srdjan Stefanović
We give necessary and sufficient condition that an element of an arbitrary -algebra is an isolated vertex of the orthograph related to the mutual strong Birkhoff-James ortho…