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arXiv · 1305.2751

Banach Algebras of Vector-valued Functions

Azadeh Nikou·Anthony G. O'Farrell
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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.

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BibTeXRIS

Azadeh Nikou, Anthony G. O'Farrell. 2019-07-31. Banach Algebras of Vector-valued Functions. https://doi.org/10.1017/s0017089519000351

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