Additive operators approximately preserving Birkhoff–James orthogonality

We consider additive operators that approximately preserve the Birkhoff-James orthogonality relation. In particular, we show that such operators must be linear.

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Publication Details

Journal
Aequationes Mathematicae
Published
2025-08-14
DOI
https://doi.org/10.1007/s00010-025-01210-4
Primary Topic
Geochemistry and Geologic Mapping
Type
article
Field-Weighted Citation Impact
0.00
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article

Additive operators approximately preserving Birkhoff–James orthogonality

Aequationes Mathematicae
Geochemistry and Geologic Mapping
article

Additive operators approximately preserving Birkhoff–James orthogonality

article en

Abstract

We consider additive operators that approximately preserve the Birkhoff-James orthogonality relation. In particular, we show that such operators must be linear.

Aequationes MathematicaeVol. 99(6)
Uniwersytet Komisji Edukacji Narodowej w Krakowie (PL)
Openalex Percentile: Top 45%
Geochemistry and Geologic Mapping
DOIOpen Access PDFOpenAlex
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Additive operators approximately preserving Birkhoff–James orthogonality · Aequationes Mathematicae (2025) | TGRS Research Map | TGRS