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Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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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 -