Generalized weighted algebras
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.
locally convex topological algebra with continuous product
scientific article; zbMATH DE number 5177512