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Homomorphisms on Function Algebras
Published online by Cambridge University Press: 20 November 2018
Abstract
Let A be an algebra of continuous real functions on a topological space X. We study when every nonzero algebra homomorphism φ: A → R is given by evaluation at some point of X. In the case that A is the algebra of rational functions (or real-analytic functions, or Cm-functions) on a Banach space, we provide a positive answer for a wide class of spaces, including separable spaces and super-reflexive spaces (with nonmeasurable cardinal).
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- Copyright © Canadian Mathematical Society 1994
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