Approximately orthogonality preserving maps in Krein spaces

DOI10.1007/s00010-019-00695-0zbMath1442.46018OpenAlexW2993365471MaRDI QIDQ2297348

Maryam Amyari, Ateyeh Saraei

Publication date: 18 February 2020

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00010-019-00695-0

zbMATH Keywords

Krein spaceindefinite inner product spaceorthogonality preserving map

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20) Linear operators on spaces with an indefinite metric (47B50)

Cites Work

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• On maps that preserve orthogonality in normed spaces
• Mappings preserving approximate orthogonality in Hilbert $C^*$-modules

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