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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


Some functional equations in Banach algebras and an application

Author: J. Vukman
Journal: Proc. Amer. Math. Soc. 100 (1987), 133-136
MSC: Primary 46H25; Secondary 39B70, 46H99
MathSciNet review: 883415
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Abstract: In this paper some results concerning certain functional equations in complex Banach algebras are presented. One of these results is used to prove an abstract generalization of the classical Jordan-Neumann characterization of pre-Hilbert space.

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Additional Information

PII: S 0002-9939(1987)0883415-0
Keywords: Banach algebra, Banach $ {*}$-algebra, vector space, module, additive function, automorphism, antiautomorphism, pre-Hilbert space
Article copyright: © Copyright 1987 American Mathematical Society

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