Nickou, Azadeh and O'Farrell, Anthony G.
(2014)
Banach Algebras of Vector-Valued Functions.
Glasgow Mathematical Journal, 56.
pp. 419-426.
ISSN 0017-0895
Abstract
We introduce the concept of an E-valued function algebra,
a type of Banach algebra that consist 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.
| Item Type: |
Article
|
| Additional Information: |
This is the preprint version of the published article, which is available at DOI: 10.1017/S0017089513000359 |
| Keywords: |
Banach algebra; Function algebra; Shilov boundary;
peak point; vector-valued; |
| Academic Unit: |
Faculty of Science and Engineering > Mathematics and Statistics |
| Item ID: |
6954 |
| Identification Number: |
https://doi.org/10.1017/S0017089513000359 |
| Depositing User: |
Prof. Anthony O'Farrell
|
| Date Deposited: |
05 Feb 2016 14:03 |
| Journal or Publication Title: |
Glasgow Mathematical Journal |
| Publisher: |
Cambridge University Press |
| Refereed: |
Yes |
| URI: |
|
| Use Licence: |
This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available
here |
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