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

3 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.

Funding

The authors were fully supported by the Croatian Science Foundation under the project IP-2016-06-1046.The work was financially supported by RSF grant 17-11-01124.The author acknowledges the financial support from the Slovenian Research Agency, ARRS (research core funding No. P1-0222 and No. P1-0285).

Funders	Funder number
Javna Agencija za Raziskovalno Dejavnost RS	P1-0285, P1-0222
Hrvatska Zaklada za Znanost	IP-2016-06-1046
Russian Science Foundation	17-11-01124

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.",

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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

UR - https://www.scopus.com/pages/publications/85103970133

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AN - SCOPUS:85103970133

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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

Funding

Keywords

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