Bundles of Banach algebras
type: Item
instance of: scholarly article
title: Bundles of Banach algebras
zbMATH Open document ID: 0821.46061
DOI: 10.1155/S0161171294000955
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 1995-09-28T00:00:00Z
full work available at URL: https://eudml.org/doc/47243
review text: Summary: We study bundles of Banach algebras \(\pi: A\to X\), where each fiber \(A_ X= \pi^{-1}(\{x\})\) is a Banach algebra and \(X\) is a compact Hausdorff space. In the case where all fibers are commutative, we investigate how the Gelfand representation of the section space algebra \(\Gamma(\pi)\) relates to the Gelfand representation of the fibers. In the general case, we investigate how adjoining an identity to the bundle \(\pi: A\to X\) relates to the standard adjunction of identities to the fibers.
Mathematics Subject Classification ID: 46H15
Mathematics Subject Classification ID: 46H25
Mathematics Subject Classification ID: 46M20
Mathematics Subject Classification ID: 46J25
zbMATH DE Number: 697106
zbMATH Keywords: bundles of Banach algebras
zbMATH Keywords: Gelfand representation of the section space algebra
zbMATH Keywords: Gelfand representation of the fibers
author: Joseph W. Kitchen
author: D. A. Robbins
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 697106