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Journal of the London Mathematical Society 1990 s2-42(2):354-364; doi:10.1112/jlms/s2-42.2.354
© 1990 by London Mathematical Society
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© Oxford University Press

Arens Regularity of the Algebra C(K,A)

A. ÜLger

Department of Mathematics, Bogaziçi University 80815 Bebek—Istanbul, Turkey

Let K be a compact Hausdorff space, A be a Banach algebra and C(K, A) the Banach algebra of continuous functions {varphi}: K -> A, equipped with the pointwise multiplication and the supremum norm. We prove that the algebra C(K, A) is Arens regular if and only if the algebra A is Arens regular.


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