Bisymmetric functionals revisited or a converse of the Fubini theorem

DOI10.1007/S00010-020-00729-YzbMath1444.39027OpenAlexW3035687845MaRDI QIDQ785642

Maciej Sablik

Publication date: 7 August 2020

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

Full work available at URL: https://doi.org/10.1007/s00010-020-00729-y

zbMATH Keywords

functional equationsFubini theorembisymmetryrepresentation of bisymmetric functionals

Mathematics Subject Classification ID

Functional equations for functions with more general domains and/or ranges (39B52) Representation theory of linear operators (47A67) Means on groups, semigroups, etc.; amenable groups (43A07)

Related Items (1)

Second-order cone and semidefinite methods for the bisymmetric matrix approximation problem

Cites Work

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• On the commutation of generalized means on probability spaces
• Commutativity of integral quasiarithmetic means on measure spaces
• Solution of generalized bisymmetry type equations without surjectivity assumptions
• Equations of generalized bisymmetry and of consistent aggregation: Weakly surjective solutions which may be discontinuous at places
• \(n\)-variable bisection.
• Quasisums and generalized associativity

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