Generalized weighted algebras
type: Item
instance of: scholarly article
title: Generalized weighted algebras
zbMATH Open document ID: 1135.46026
DOI: 10.1007/BF02874775
author: Rachid Choukri
author: A. El Kinani
author: A. Oukhouya
publication date: 2007-08-07T00:00:00Z
review text: Let \(G\) be an abelian locally compact group. The authors study the spaces \(L^p_{\omega}(G,E)\), \(1<p<\infty\). Roughly speaking, they consist of functions from \(G\) to a locally convex topological algebra \(E\), such that \(p\)-th powers of their \(E\)-seminorms are Haar summable with a weight \(\omega\). Under certain conditions, these spaces are locally convex algebras with respect to the convolution multiplication. The authors provide some information about the structure of such algebras.
reviewed by: Wiesław Tadeusz Żelazko
Mathematics Subject Classification ID: 46H20
Mathematics Subject Classification ID: 46C50
zbMATH DE Number: 5177512
zbMATH Keywords: locally convex topological algebra with continuous product
zbMATH Keywords: abelian locally compact group
zbMATH Keywords: weights
zbMATH Keywords: integrable function
zbMATH Keywords: convolution product
MaRDI profile type: Publication
cites work: Dense inverse limit rings
cites work: Q3285650
cites work: Q5509066
cites work: \(m\)-convex structure in the weighted space \(L^p_\Omega (\mathbb R^n)\)
cites work: Q3730448
cites work: Locally multiplicatively-convex topological algebras
published in: Rendiconti del Circolo Matematico di Palermo
description: scientific article; zbMATH DE number 5177512