Linear mappings approximately preserving orthogonality

DOI10.1016/j.jmaa.2004.09.011zbMath1090.46017OpenAlexW2043791734MaRDI QIDQ1772293

Jacek Chmieliński

Publication date: 18 April 2005

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.09.011

zbMATH Keywords

orthogonality preserving mappingsapproximate orthogonality

Mathematics Subject Classification ID

Inner product spaces and their generalizations, Hilbert spaces (46C99)

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Cites Work

• Comparison of inner products
• The singular case in the stability of additive functions
• Operators preserving orthogonality are isometries
• Banach space techniques underpinning a theory for nearly additive mappings
• On isometries of normed linear spaces
• A logical look at characterizations of geometric transformations under mild hypotheses

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