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May 2020 A Hypergroup Dual Space Can be Unbounded
Adam Parr
Missouri J. Math. Sci. 32(1): 71-79 (May 2020). DOI: 10.35834/2020/3201071

Abstract

Unlike topological groups, hypergroups are not closed under duality. While it has long been known that a hypergroup dual space might be signed, the boundedness of such dual spaces has been an open question. In this paper it is shown that a hypergroup dual space may fail to be bounded. An example will be given of an infinite direct product of finite hypergroups whose dual space is a semi-bounded, but not bounded, generalized hypergroup.

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Adam Parr. "A Hypergroup Dual Space Can be Unbounded." Missouri J. Math. Sci. 32 (1) 71 - 79, May 2020. https://doi.org/10.35834/2020/3201071

Information

Published: May 2020
First available in Project Euclid: 2 July 2020

MathSciNet: MR4118652
Digital Object Identifier: 10.35834/2020/3201071

Subjects:
Primary: 43A62

Rights: Copyright © 2020 Central Missouri State University, Department of Mathematics and Computer Science

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Vol.32 • No. 1 • May 2020
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