Banach Algebras of Vector-valued Functions
Functional Analysis
2020-08-12 v2
Abstract
We introduce the concept of an -valued function algebra, a type of Banach algebra that consist of continuous -valued functions on some compact Hausdorff space, where 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 -valued function algebras. We give some specific examples.
Cite
@article{arxiv.1305.2751,
title = {Banach Algebras of Vector-valued Functions},
author = {Azadeh Nikou and Anthony G. O'Farrell},
journal= {arXiv preprint arXiv:1305.2751},
year = {2020}
}
Comments
13 pages. This version corrects the published version by deleting two sentences on page 2