The Centre of the Spaces of Banach Lattice‐Valued Continuous Functions on the Generalized Alexandroff Duplicate

Faruk Polat

Abstract and Applied Analysis, 2011, vol. 2011, issue 1

Abstract: We characterize the centre of the Banach lattice of Banach lattice E‐valued continuous functions on the Alexandroff duplicate of a compact Hausdorff space K in terms of the centre of C(K, E), the space of E‐valued continuous functions on K. We also identify the centre of CD0(Q, E) = C(Q, E) + c0(Q, E) whose elements are the sums of E‐valued continuous and discrete functions defined on a compact Hausdorff space Q without isolated points, which was given by Alpay and Ercan (2000).

Date: 2011
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https://doi.org/10.1155/2011/604931

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2011:y:2011:i:1:n:604931

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