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

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

Keywords

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

All Science Journal Classification (ASJC) codes

Algebra and Number Theory
Numerical Analysis
Geometry and Topology
Discrete Mathematics and Combinatorics

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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",

note = "Publisher Copyright: {\textcopyright} 2021 Elsevier Inc.",

year = "2021",

month = sep,

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

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journal = "Linear Algebra and Its Applications",

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T1 - Operators preserving mutual strong Birkhoff–James orthogonality on B(H)

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 - http://www.scopus.com/inward/record.url?scp=85103970133&partnerID=8YFLogxK

U2 - 10.1016/j.laa.2021.04.003

DO - 10.1016/j.laa.2021.04.003

M3 - مقالة

SN - 0024-3795

VL - 624

SP - 27

EP - 43

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

ER -

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

Abstract

Keywords

All Science Journal Classification (ASJC) codes

Access to Document

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