Operators preserving mutual strong Birkhoff–James orthogonality on B(H)

Operators preserving mutual strong Birkhoff–James orthogonality on B(H)

We classify surjective linear maps on B(H) that preserve mutual strong Birkhoff–James orthogonality.

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Veröffentlicht in:Linear algebra and its applications 2021-09, Vol.624, p.27-43
Hauptverfasser: Arambašić, Ljiljana, Guterman, Alexander, Kuzma, Bojan, Rajić, Rajna, Zhilina, Svetlana
Format: Artikel
Sprache:eng
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(Mutual) strong Birkhoff–James orthogonality
Linear algebra
Linear preservers
Orthogonality
Rank-one operators
Surjective operators
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container_end_page 43
container_issue
container_start_page 27
container_title Linear algebra and its applications
container_volume 624
creator Arambašić, Ljiljana
Guterman, Alexander
Kuzma, Bojan
Rajić, Rajna
Zhilina, Svetlana
description We classify surjective linear maps on B(H) that preserve mutual strong Birkhoff–James orthogonality.
doi_str_mv 10.1016/j.laa.2021.04.003
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subjects (Mutual) strong Birkhoff–James orthogonality
Linear algebra
Linear preservers
Orthogonality
Rank-one operators
Surjective operators
title Operators preserving mutual strong Birkhoff–James orthogonality on B(H)
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