The Centre of the Spaces of Banach Lattice-Valued Continuous Functions on the Generalized Alexandroff Duplicate | Zendy

Faruk Polat | Zendy

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

Author(s) -

Faruk Polat

Publication year - 2011

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2011/604931

Subject(s) - mathematics , continuous functions on a compact hausdorff space , hausdorff space , banach space , pure mathematics , hausdorff distance , lattice (music) , mathematical analysis , discrete mathematics , physics , acoustics

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

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