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Nickou, Azadeh and O'Farrell, Anthony G. (2014) Banach Algebras of Vector-Valued Functions. Glasgow Mathematical Journal, 56. pp. 419-426. ISSN 0017-0895
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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: | 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 |
| Related URLs: | |
| URI: | https://mural.maynoothuniversity.ie/id/eprint/6954 |
| 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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