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https://dspace.ctu.edu.vn/jspui/handle/123456789/71594
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;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 K, 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/123456789/71594 |
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 | ||
Your IP: 18.191.218.234 |
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