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BANACH ALGEBRAS OF VECTOR-VALUED FUNCTIONS

  • AZADEH NIKOU (a1) and ANTHONY G. O'FARRELL (a2)
  • Please note a correction has been issued for this article.

Abstract

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.

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References

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BANACH ALGEBRAS OF VECTOR-VALUED FUNCTIONS

  • AZADEH NIKOU (a1) and ANTHONY G. O'FARRELL (a2)
  • Please note a correction has been issued for this article.

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A correction has been issued for this article: