Weak* continuous characters on dual algebras

Bernard Chevreau; Il Bong Jung; Eungil Ko; Carl Pearcy

doi:10.1512/iumj.2005.54.2536

Weak* continuous characters on dual algebras

Bernard Chevreau, Il Bong Jung, Eungil Ko, Carl Pearcy

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

In this note we study properties of the set of weak*-continuous characters on a given singly generated dual algebra of operators on Hilbert space. This topic is pertinent to the invariant subspace problem. Our results unify some known examples, and enable us to show that for a certain class of such algebras, the set of such characters is empty.

Original language	English
Pages (from-to)	187-198
Number of pages	12
Journal	Indiana University Mathematics Journal
Volume	54
Issue number	1
DOIs	https://doi.org/10.1512/iumj.2005.54.2536
State	Published - 2005

Keywords

Dual algebra
Weak spectrum
Weak* continuous character

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10.1512/iumj.2005.54.2536

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title = "Weak* continuous characters on dual algebras",

abstract = "In this note we study properties of the set of weak*-continuous characters on a given singly generated dual algebra of operators on Hilbert space. This topic is pertinent to the invariant subspace problem. Our results unify some known examples, and enable us to show that for a certain class of such algebras, the set of such characters is empty.",

keywords = "Dual algebra, Weak spectrum, Weak* continuous character",

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AU - Chevreau, Bernard

AU - Jung, Il Bong

AU - Ko, Eungil

AU - Pearcy, Carl

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N2 - In this note we study properties of the set of weak*-continuous characters on a given singly generated dual algebra of operators on Hilbert space. This topic is pertinent to the invariant subspace problem. Our results unify some known examples, and enable us to show that for a certain class of such algebras, the set of such characters is empty.

AB - In this note we study properties of the set of weak*-continuous characters on a given singly generated dual algebra of operators on Hilbert space. This topic is pertinent to the invariant subspace problem. Our results unify some known examples, and enable us to show that for a certain class of such algebras, the set of such characters is empty.

KW - Dual algebra

KW - Weak spectrum

KW - Weak continuous character

UR - http://www.scopus.com/inward/record.url?scp=17244373404&partnerID=8YFLogxK

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DO - 10.1512/iumj.2005.54.2536

M3 - Article

AN - SCOPUS:17244373404

SN - 0022-2518

VL - 54

SP - 187

EP - 198

JO - Indiana University Mathematics Journal

JF - Indiana University Mathematics Journal

IS - 1

ER -

Weak* continuous characters on dual algebras

Abstract

Keywords

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