Finite dimensional semisimple \(Q\)-algebras
type: Item
instance of: scholarly article
title: Finite dimensional semisimple \(Q\)-algebras
zbMATH Open document ID: 1125.46040
author: Takahiko Nakazi
author: Takanori Yamamoto
published in: Linear Algebra and its Applications
publication date: 2007-01-09T00:00:00Z
review text: Let \(A\) be a uniform algebra on a compact Hausdorff space \(X\) and \(I\) be a closed ideal of \(A\). Then \(A/I\) is a commutative Banach algebra with unit. Here a Banach algebra \(B\) is called a \(Q\)-algebra if it is isometrically isomorphic to \(A/I\). Finite \(n\)-dimensional semisimple \(Q\)-algebras on a finite \(n\)-dimensional Hilbert space are studied in the present paper. In particular, a 3-dimensional \(Q\)-algebra of a disc algebra on a 3-dimensional Hilbert space is described. The studies are related to the Pick interpolation problem for a uniform algebra.
reviewed by: Mati Abel
Mathematics Subject Classification ID: 46J05
Mathematics Subject Classification ID: 47A30
Mathematics Subject Classification ID: 46J10
Mathematics Subject Classification ID: 47B38
zbMATH DE Number: 5083611
zbMATH Keywords: finite dimensional semisimple \(Q\)-algebras
MaRDI profile type: Publication
full work available at URL: j.laa.2006.07.016
OpenAlex ID: W2145233429
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DOI: 10.1016/J.LAA.2006.07.016
description: scientific article; zbMATH DE number 5083611