INVARIANT SUBSPACES OF FINITE CODIMENSION AND UNIFORM ALGEBRAS


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Please use this identifier to cite or link to this item:http://hdl.handle.net/2115/5785

Title:	INVARIANT SUBSPACES OF FINITE CODIMENSION AND UNIFORM ALGEBRAS
Authors:	NAKAZI, TAKAHIKO¹ Browse this author →KAKEN DB
Authors:	OSAWA, TOMOKO Browse this author
Authors(alt):	中路, 貴彦¹
Issue Date:	Jan-2004
Publisher:	Cambridge University Press
Journal Title:	Glasgow Mathematical Journal
Volume:	46
Start Page:	117
End Page:	120
Publisher DOI:	10.1017/S0017089503001587
Abstract:	Let A be a uniform algebra on a compact Hausdorff space X and m a probability measure on X. Let Hp(m) be the norm closure of A in Lp(m) with 1 ≤ p < ∞ and H∞(m) the weak * closure of A in L∞(m). In this paper, we describe a closed ideal of A and exhibit a closed invariant subspace of Hp(m) for A that is of finite codimension.
Rights:	Copyright © 2004 Glasgow Mathematical Journal Trust.
Type:	article
URI:	http://hdl.handle.net/2115/5785
Appears in Collections:	理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

Submitter: 中路貴彦

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