Advertibly complete \(A-F\)-normed algebras
type: Item
instance of: scholarly article
title: Advertibly complete \(A-F\)-normed algebras
zbMATH Open document ID: 0984.46028
DOI: 10.1007/BF02904226
author: M. Chahboun
author: A. El Kinani
author: M. Oudadess
publication date: 2000-09-04T00:00:00Z
review text: The authors present the A-F-normed algebras. They are a subclass of the F*-algebras introduced by \textit{W. Zelazko} in [Studia Math. 19, 333-355 (1960; Zbl 0096.08303)]. In the first part of the paper the authors give examples of these algebras and they study its structure and relation with p-normed algebras. The last part of the paper, is devoted to obtain spectral properties for advertibly complete A-F-normed algebras. For these algebras it is obtained that the spectrum of every element is compact.
Mathematics Subject Classification ID: 46H05
Mathematics Subject Classification ID: 46A16
zbMATH DE Number: 1462212
zbMATH Keywords: \(F^*\)-algebra
zbMATH Keywords: \(A-F\)-normed algebra
zbMATH Keywords: \(p\)-normed algebra
zbMATH Keywords: advertible completeness
zbMATH Keywords: spectral properties
reviewed by: M. J. Chasco
MaRDI profile type: Publication
cites work: Q3730448
cites work: Q5722506
cites work: Q3243449
cites work: Topological vector spaces and algebras
cites work: Polynomial completeness in locally multiplicatively-convex algebras
cites work: On the locally bounded and m-convex topological algebras
cites work: Q5625778
published in: Rendiconti del Circolo Matematico di Palermo
description: scientific article; zbMATH DE number 1462212