Additive f-bimorphisms and Cosine Type Equations
C.-S. Lin, Y.J. Cho (1997)
Publications de l'Institut Mathématique
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Displaying similar documents to “A theorem of the Hahn-Banach type and its applications”
Additive f-bimorphisms and Cosine Type Equations
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A Hahn-Banach type generalization of the Hyers-Ulam theorem.
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Utpal Bandyopadhyay (1973)
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Katalin Kovács (1998)
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Bogdan Pawlik (1987)
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Kari Ylinen (1993)
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Separately σ-additive and separately finitely additive complex functions on the Cartesian product of two algebras of sets are represented in terms of spectral measures and their finitely additive counterparts. Applications of the techniques include a bounded joint convergence theorem for bimeasure integration, characterizations of positive-definite bimeasures, and a theorem on decomposing a bimeasure into a linear combination of positive-definite ones.