A remark on discontinuous translation invariant functionals on \(L_ p (G)\) for certain compact groups \(G\)
type: Item
instance of: scholarly article
title: A remark on discontinuous translation invariant functionals on \(L_ p (G)\) for certain compact groups \(G\)
zbMATH Open document ID: 0792.43001
DOI: 10.1007/BF01535577
author: Waldemar Hebisch
author: Jarosław Krawczyk
published in: Monatshefte für Mathematik
publication date: 1993-05-12T00:00:00Z
full work available at URL: https://eudml.org/doc/178579
review text: The authors exhibit a class of compact metrizable non-abelian groups with the property that there exist discontinuous translation-invariant functionals on \(C(G)\) and \(L_ p(G)\) for \(1 \leq p \leq \infty\). This extends and complements results of \textit{G. H. Meisters} and \textit{W. M. Schmidt} [J. Funct. Anal. 11, 407-424 (1972; Zbl 0247.43004)] and \textit{B. E. Johnson} [Bull. Sci. Math., II. Sér. 107, 301-310 (1983; Zbl 0529.43003)].
Mathematics Subject Classification ID: 43A15
Mathematics Subject Classification ID: 22C05
zbMATH DE Number: 164916
zbMATH Keywords: compact metrizable groups
zbMATH Keywords: translation-invariant functionals
reviewed by: A. Strasburger
MaRDI profile type: Publication
cites work: Q5723435
cites work: Q3311093
cites work: Translationinvariant linear forms on L\(^2\)(G) for compact Abelian groups G
cites work: Discontinuous translation-invariant linear forms on \(\mathcal K(G)\)
description: scientific article; zbMATH DE number 164916