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Research output: Contribution to journal › Journal article

Forthcoming

**Factorization in commutative Banach algebras.** / Dales, G.; Feinstein, J. F.; Pham, Hung.

Research output: Contribution to journal › Journal article

Dales, G, Feinstein, JF & Pham, H 2020, 'Factorization in commutative Banach algebras', *Studia Mathematica*.

Dales, G., Feinstein, J. F., & Pham, H. (Accepted/In press). Factorization in commutative Banach algebras. *Studia Mathematica*.

Dales G, Feinstein JF, Pham H. Factorization in commutative Banach algebras. Studia Mathematica. 2020 Aug 10.

@article{431c518b0bbc481eb573bc739cb81ecf,

title = "Factorization in commutative Banach algebras",

abstract = "Let A be a (non-unital) commutative Banach algebra. We consider when A has a variety of factorization properties: we list the (obvious) implications between these properties, and then consider whether any of these implications can be reversed in various classes of commutative Banach algebras. We summarize the known counter-examples to these possible reverse implications, and add further counter-examples. Some results are used to show the existence of a large family of prime ideals in each non-zero, commutative, radical Banach algebra with a dense set of products.",

author = "G. Dales and Feinstein, {J. F.} and Hung Pham",

year = "2020",

month = aug,

day = "10",

language = "English",

journal = "Studia Mathematica",

issn = "0039-3223",

publisher = "Instytut Matematyczny",

}

TY - JOUR

T1 - Factorization in commutative Banach algebras

AU - Dales, G.

AU - Feinstein, J. F.

AU - Pham, Hung

PY - 2020/8/10

Y1 - 2020/8/10

N2 - Let A be a (non-unital) commutative Banach algebra. We consider when A has a variety of factorization properties: we list the (obvious) implications between these properties, and then consider whether any of these implications can be reversed in various classes of commutative Banach algebras. We summarize the known counter-examples to these possible reverse implications, and add further counter-examples. Some results are used to show the existence of a large family of prime ideals in each non-zero, commutative, radical Banach algebra with a dense set of products.

AB - Let A be a (non-unital) commutative Banach algebra. We consider when A has a variety of factorization properties: we list the (obvious) implications between these properties, and then consider whether any of these implications can be reversed in various classes of commutative Banach algebras. We summarize the known counter-examples to these possible reverse implications, and add further counter-examples. Some results are used to show the existence of a large family of prime ideals in each non-zero, commutative, radical Banach algebra with a dense set of products.

M3 - Journal article

JO - Studia Mathematica

JF - Studia Mathematica

SN - 0039-3223

ER -