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https://dspace.ctu.edu.vn/jspui/handle/123456789/100898
Title: | Characterization of multipliers on hypergroups |
Authors: | Kumar, Vishvesh Kumar, N. Shravan Sarma, Ritumoni |
Keywords: | Vector-valued Lᵖ space Hypergroup Multipliers Translation invariant operators Character convolution transform Module homomorphism |
Issue Date: | 2020 |
Series/Report no.: | Acta mathematica Vietnamica journal;Vol.45, No.03 .- P.783-794 |
Abstract: | Let K be a hypergroup. We characterize translation invariant operators from a vector-valued L¹-space to a vector-valued Lᵖ-space defined on K. Furthermore, for a commutative compact hypergroup A. we introduce and study the notion of character convolution transform of a Banach L¹(K)-module M. Several characterizations of multipliers on M are given. We also prove an analogue of the Schoenberg-Eberlein theorem for the character convolution transform. |
URI: | https://dspace.ctu.edu.vn/jspui/handle/123456789/100898 |
ISSN: | 0251-4184 |
Appears in Collections: | Acta Mathematica Vietnamica |
Files in This Item:
File | Description | Size | Format | |
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_file_ Restricted Access | 1.85 MB | Adobe PDF | ||
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