Ultraseparating function spaces and operating functions for the real part of a function algebra

Briem, Eggert

doi:10.1090/S0002-9939-1991-1031448-7

Ultraseparating function spaces and operating functions for the real part of a function algebra
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Proc. Amer. Math. Soc. 111 (1991), 55-59 Request permission

Abstract:

We show how a local version of a result due to A. Bernard on ultraseparating Banach function spaces can be used to give a short proof of the theorem stating that only affine functions operate on the real part of a function algebra.

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