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BANACH ALGEBRAS OF VECTOR-VALUED FUNCTIONS

Published online by Cambridge University Press:  13 August 2013

AZADEH NIKOU  and
ANTHONY G. O'FARRELL
AZADEH NIKOU
Affiliation:
Department of Mathematics, Tarbiat Moallem University, 599 Taleghani Avenue, Tehran 15618, Iran e-mail: a_nikou@tmu.ac.ir
ANTHONY G. O'FARRELL
Affiliation:
Department of Mathematics and Statistics, NUI, Maynooth, Co. Kildare, Ireland e-mail: admin@maths.nuim.ie
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Abstract

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We introduce the concept of an E-valued function algebra, a type of Banach algebra that consists of continuous E-valued functions on some compact Hausdorff space, where E is a Banach algebra. We present some basic results about such algebras, having to do with the Shilov boundary and the set of peak points of some commutative E-valued function algebras. We give some specific examples.

Keywords

46H99
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 56 , Issue 2 , May 2014 , pp. 419 - 426
Copyright
Copyright © Glasgow Mathematical Journal Trust 2013 

References

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