Contractive projections on Banach algebras

Anthony To Ming Lau; Richard J. Loy

doi:10.1016/j.jfa.2008.02.008

Contractive projections on Banach algebras

Anthony To Ming Lau, Richard J. Loy^*

^*Corresponding author for this work

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

7 Citations (Scopus)

Abstract

In this paper, we explore the properties of projections of norm one on general Banach algebras, in particular the relation with conditional expectations for algebras which arise in harmonic analysis.

Original language	English
Pages (from-to)	2513-2533
Number of pages	21
Journal	Journal of Functional Analysis
Volume	254
Issue number	10
DOIs	https://doi.org/10.1016/j.jfa.2008.02.008
Publication status	Published - 15 May 2008

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title = "Contractive projections on Banach algebras",

abstract = "In this paper, we explore the properties of projections of norm one on general Banach algebras, in particular the relation with conditional expectations for algebras which arise in harmonic analysis.",

keywords = "Banach algebra, Conditional expectation, Fourier algebra, Group algebra, Group von Neumann algebra, Locally compact group, Measure algebra, Norm one projection",

author = "Lau, \{Anthony To Ming\} and Loy, \{Richard J.\}",

year = "2008",

month = may,

day = "15",

doi = "10.1016/j.jfa.2008.02.008",

language = "English",

volume = "254",

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journal = "Journal of Functional Analysis",

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AU - Loy, Richard J.

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N2 - In this paper, we explore the properties of projections of norm one on general Banach algebras, in particular the relation with conditional expectations for algebras which arise in harmonic analysis.

AB - In this paper, we explore the properties of projections of norm one on general Banach algebras, in particular the relation with conditional expectations for algebras which arise in harmonic analysis.

KW - Banach algebra

KW - Conditional expectation

KW - Fourier algebra

KW - Group algebra

KW - Group von Neumann algebra

KW - Locally compact group

KW - Measure algebra

KW - Norm one projection

UR - https://www.scopus.com/pages/publications/41349095402

U2 - 10.1016/j.jfa.2008.02.008

DO - 10.1016/j.jfa.2008.02.008

M3 - Article

SN - 0022-1236

VL - 254

SP - 2513

EP - 2533

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 10

ER -

Contractive projections on Banach algebras

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