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Approximate identities in Banach function algebras

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Approximate identities in Banach function algebras. / Dales, H.G.; Ulger, Ali.

In: Studia Mathematica, Vol. 226, No. 2, 2015, p. 155-187.

Research output: Contribution to journalJournal article

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Dales, HG & Ulger, A 2015, 'Approximate identities in Banach function algebras', Studia Mathematica, vol. 226, no. 2, pp. 155-187. https://doi.org/10.4064/sm226-2-3

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Dales, H.G. ; Ulger, Ali. / Approximate identities in Banach function algebras. In: Studia Mathematica. 2015 ; Vol. 226, No. 2. pp. 155-187.

Bibtex

@article{8fdef36a142c47f08cdb268ba345c49c,
title = "Approximate identities in Banach function algebras",
abstract = "In this paper, we shall study contractive and pointwise contractive Banach function algebras, in which each maximal modular ideal has a contractive or pointwise contractive approximate identity, respectively, and we shall seek to characterize these algebras.We shall give many examples, including uniform algebras, that distinguish between contractive and pointwise contractive Banach function algebras.We shall describe a contractiveBanach function algebras which is not equivalent to a uniform algebra. We shall also obtain results about Banach sequence algebras and Banach function algebras that are ideals in their second duals.",
keywords = "Banach function algebra contractive approximate identity, approximate identity",
author = "H.G. Dales and Ali Ulger",
year = "2015",
doi = "10.4064/sm226-2-3",
language = "English",
volume = "226",
pages = "155--187",
journal = "Studia Mathematica",
issn = "0039-3223",
publisher = "Instytut Matematyczny",
number = "2",

}

RIS

TY - JOUR

T1 - Approximate identities in Banach function algebras

AU - Dales, H.G.

AU - Ulger, Ali

PY - 2015

Y1 - 2015

N2 - In this paper, we shall study contractive and pointwise contractive Banach function algebras, in which each maximal modular ideal has a contractive or pointwise contractive approximate identity, respectively, and we shall seek to characterize these algebras.We shall give many examples, including uniform algebras, that distinguish between contractive and pointwise contractive Banach function algebras.We shall describe a contractiveBanach function algebras which is not equivalent to a uniform algebra. We shall also obtain results about Banach sequence algebras and Banach function algebras that are ideals in their second duals.

AB - In this paper, we shall study contractive and pointwise contractive Banach function algebras, in which each maximal modular ideal has a contractive or pointwise contractive approximate identity, respectively, and we shall seek to characterize these algebras.We shall give many examples, including uniform algebras, that distinguish between contractive and pointwise contractive Banach function algebras.We shall describe a contractiveBanach function algebras which is not equivalent to a uniform algebra. We shall also obtain results about Banach sequence algebras and Banach function algebras that are ideals in their second duals.

KW - Banach function algebra contractive approximate identity

KW - approximate identity

U2 - 10.4064/sm226-2-3

DO - 10.4064/sm226-2-3

M3 - Journal article

VL - 226

SP - 155

EP - 187

JO - Studia Mathematica

JF - Studia Mathematica

SN - 0039-3223

IS - 2

ER -