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

Ljiljana Arambašić; Alexander Guterman; Bojan Kuzma; Rajna Rajić; Svetlana Zhilina

doi:10.1016/j.laa.2021.04.003

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

Ljiljana Arambašić, Alexander Guterman, Bojan Kuzma, Rajna Rajić, Svetlana Zhilina

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

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

Original language	English
Pages (from-to)	27-43
Number of pages	17
Journal	Linear Algebra and Its Applications
Volume	624
DOIs	https://doi.org/10.1016/j.laa.2021.04.003
State	Published - 1 Sep 2021
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2021 Elsevier Inc.

Keywords

(Mutual) strong Birkhoff–James orthogonality
Linear preservers
Rank-one operators
Surjective operators

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10.1016/j.laa.2021.04.003

Cite this

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title = "Operators preserving mutual strong Birkhoff–James orthogonality on B(H)",

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

keywords = "(Mutual) strong Birkhoff–James orthogonality, Linear preservers, Rank-one operators, Surjective operators",

author = "Ljiljana Aramba{\v s}i{\'c} and Alexander Guterman and Bojan Kuzma and Rajna Raji{\'c} and Svetlana Zhilina",

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doi = "10.1016/j.laa.2021.04.003",

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AU - Arambašić, Ljiljana

AU - Guterman, Alexander

AU - Kuzma, Bojan

AU - Rajić, Rajna

AU - Zhilina, Svetlana

PY - 2021/9/1

Y1 - 2021/9/1

N2 - We classify surjective linear maps on B(H) that preserve mutual strong Birkhoff–James orthogonality.

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

KW - (Mutual) strong Birkhoff–James orthogonality

KW - Linear preservers

KW - Rank-one operators

KW - Surjective operators

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JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

ER -

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

Abstract

Bibliographical note

Keywords

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