The cluster value problem in spaces of continuous functions

Johnson, W.; Ortega Castillo, S.

doi:10.1090/S0002-9939-2014-12190-3

The cluster value problem in spaces of continuous functions
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by W. B. Johnson and S. Ortega Castillo PDF

Proc. Amer. Math. Soc. 143 (2015), 1559-1568 Request permission

Abstract:

We study the cluster value problem for certain Banach algebras of holomorphic functions defined on the unit ball of a complex Banach space $X$. The main results are for spaces of the form $X=C(K).$

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