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Turkish Journal of Mathematics

Authors

FARUK POLAT

Abstract

In [2], Alpay and Ercan characterized order continuous duals of spaces CD_0(K, E) and CD_w(K, E) where K is a compact Hausdorff space without isolated points and E is a Banach lattice. In this note, we generalize their results to an arbitrary Dedekind complete Banach lattice F, that is to say, we characterize order continuous operators on these spaces taking values in an arbitrary Dedekind complete Banach lattice F.

DOI

10.3906/mat-0903-32

Keywords

CD_0(K)-spaces, order continuous operators, isometric lattice isomorphism

First Page

101

Last Page

106

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