The problem of S. M. Ulam for approximately multiplicative mappings
type: Item
instance of: scholarly article
title: The problem of S. M. Ulam for approximately multiplicative mappings
zbMATH Open document ID: 0958.46022
author: Themistocles M. Rassias
published in: Journal of Mathematical Analysis and Applications
publication date: 2000-10-24T00:00:00Z
review text: The author discusses the celebrated Ulam's problem of describing the functionals satisfying an \(\varepsilon\)-version of multplicative or additive law. The structure of a so-called ANMN-algebra, i.e., an algebra with ``integrity'', that is, whose every approximately miltiplicative functional is near multiplicative.
Mathematics Subject Classification ID: 46G05
zbMATH DE Number: 1496298
zbMATH Keywords: approximately multiplicative functional
zbMATH Keywords: \(\varepsilon\)-additivity
zbMATH Keywords: superstability
zbMATH Keywords: near multiplicative
reviewed by: S. S. Kutateladze
MaRDI profile type: Publication
full work available at URL: jmaa.2000.6788
OpenAlex ID: W2010996484
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DOI: 10.1006/JMAA.2000.6788
description: scientific article; zbMATH DE number 1496298