Approximate identities in Banach function algebras

• Autorzy: H. G. Dales , A. Ülger
• Języki publikacji: EN

Abstrakty

EN

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 contractive Banach function algebra 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.

Kategorie tematyczne

• 47L10: Algebras of operators on Banach spaces and other topological linear spaces
• 46B15: Summability and bases
• 46B42: Banach lattices
• 46B28: Spaces of operators; tensor products; approximation properties

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2015
• Tom: 226
• Numer: 2
• Strony: 155-187

Daty

wydano

2015

Twórcy

autor

H. G. Dales

• Department of Mathematics and Statistics, University of Lancaster, Lancaster LA1 4YF, United Kingdom

autor

A. Ülger

• Department of Mathematics, Koç University, 34450 Sariyer-Istanbul, Turkey

Identyfikatory

DOI

10.4064/sm226-2-3