Decomposition of two functions in the orthogonality equation

DOI10.1007/S00010-015-0385-8zbMath1346.39033OpenAlexW2143654999WikidataQ59472219 ScholiaQ59472219MaRDI QIDQ291275

Paweł Wójcik, Radosław ~Łukasik

Publication date: 7 June 2016

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

Full work available at URL: https://doi.org/10.1007/s00010-015-0385-8

zbMATH Keywords

Hilbert spacebounded linear operatororthogonality equation

Mathematics Subject Classification ID

Equations involving linear operators, with operator unknowns (47A62) Functional equations for functions with more general domains and/or ranges (39B52) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Orthogonal additivity and other conditional functional equations (39B55)

Related Items (8)

Orthogonality preserving property for pairs of operators on Hilbert \(C^*\)-modules ⋮ Orthogonality Hilbert 𝒜-modules and operators preserving multi-𝒜-linearity ⋮ A note on the orthogonality equation with two functions ⋮ Decomposition of functions between Banach spaces in the orthogonality equation ⋮ Functions preserving the biadditivity ⋮ The Banach-Stone theorem in Finsler \(C^*\)-modules ⋮ On the stability of the orthogonality equation and the orthogonality-preserving property with two unknown functions ⋮ A functional equation with biadditive functions

Cites Work

• Orthogonality equation with two unknown functions
• On the stability of the orthogonality equation and the orthogonality-preserving property with two unknown functions

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