A certain logmodular algebra and its Gleason parts
type: Item
instance of: scholarly article
title: A certain logmodular algebra and its Gleason parts
zbMATH Open document ID: 0662.46058
author: Kazuo Kishi
published in: Hokkaido Mathematical Journal
publication date: 1988-01-01T00:00:00Z
review text: Let A be a weak* Dirichlet algebra on a nontrivial probability measure space, and let \(H^{\infty}=H^{\infty}(m)\) be the weak* closure of A in \(L^{\infty}(m)\). The purpose of this paper is twofold. First, the author investigates the maximal ideal space \(M(H^{\infty})\) of \(H^{\infty}\) in relation to an algebraic direct sum decomposition of \(H^{\infty}\). Second, the author studies a certain logmodular algebra A, on a compact space X, in connection with an abstract Hardy algebra \(H^{\infty}\) associated with A.
Mathematics Subject Classification ID: 46J20
Mathematics Subject Classification ID: 46J10
Mathematics Subject Classification ID: 46J15
zbMATH DE Number: 4082305
zbMATH Keywords: weak* Dirichlet algebra on a nontrivial probability measure space
zbMATH Keywords: maximal ideal space
zbMATH Keywords: logmodular algebra
zbMATH Keywords: abstract Hardy algebra
reviewed by: George Csordas
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.14492/hokmj/1381517807
OpenAlex ID: W1975518451
DOI: 10.14492/HOKMJ/1381517807
description: scientific article; zbMATH DE number 4082305