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, 1-5

Abstract:

We characterize the centre of the Banach lattice of Banach lattice ð ¸ -valued continuous functions on the Alexandroff duplicate of a compact Hausdorff space ð ¾ in terms of the centre of ð ¶ ( ð ¾ , ð ¸ ) , the space of ð ¸ -valued continuous functions on ð ¾ . We also identify the centre of ð ¶ ð · 0 ( ð ‘„ , ð ¸ ) = ð ¶ ( ð ‘„ , ð ¸ ) + ð ‘ 0 ( ð ‘„ , ð ¸ ) whose elements are the sums of ð ¸ -valued continuous and discrete functions defined on a compact Hausdorff space ð ‘„ without isolated points, which was given by Alpay and Ercan (2000).

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:604931

DOI: 10.1155/2011/604931

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