Continuous pseudocharacters on connected locally compact groups are characters
type: Item
instance of: scholarly article
title: Continuous pseudocharacters on connected locally compact groups are characters
zbMATH Open document ID: 0849.22003
publication date: 1994-12-05T00:00:00Z
review text: The author proves that any continuous pseudocharacter on a connected locally compact group \(G\) (that is a real function \(f\) with \(f(x^n) = nf(x)\) and the set \(\{f(xy) - f(x) - f(y) : x,y \in G\}\) is bounded) is a continuous homomorphism of \(G\) into \(\mathbb{R}\).
Mathematics Subject Classification ID: 22D05
zbMATH DE Number: 687611
zbMATH Keywords: continuous pseudocharacter
zbMATH Keywords: locally compact group
zbMATH Keywords: homomorphism
author: A. I. Shtern
reviewed by: Yurii V. Mukhin
MaRDI profile type: Publication
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published in: Functional Analysis and Its Applications
description: scientific article; zbMATH DE number 687611