Topological algebras of kernels
type: Item
instance of: scholarly article
title: Topological algebras of kernels
zbMATH Open document ID: 0596.46042
DOI: 10.1007/BF02192672
author: Athanasios Kyriazis
published in: Aequationes Mathematicae
publication date: 1984-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/137025
review text: This paper is devoted to the study of a class of topological algebras, called locally convex algebras of kernels. The main result of this paper is: Let E be a locally convex space and A its locally convex algebra of kernels. Then the set of all proper closed 2-sided ideals of A coincides with the set of all closed vector subspaces of ker(h), where h is a continuous algebra morphism of A into \({\mathcal L}_ b(E)\).
Mathematics Subject Classification ID: 46H10
Mathematics Subject Classification ID: 46H15
Mathematics Subject Classification ID: 46M05
Mathematics Subject Classification ID: 46H05
zbMATH DE Number: 3960294
zbMATH Keywords: Fredholm theory
zbMATH Keywords: faithful topology
zbMATH Keywords: Jacobson radical
zbMATH Keywords: strictly
zbMATH Keywords: irreducible representation
zbMATH Keywords: locally convex algebras of kernels
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3960294