Unbounded disjointness preserving linear functionals and operators

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Unbounded Disjointness Preserving Linear Functionals

Let X be a locally compact Hausdorff space and C0(X) the Banach space of continuous functions on X vanishing at infinity. In this paper, we shall study unbounded disjointness preserving linear functionals on C0(X). They arise from prime ideals of C0(X), and we translate it into the cozero set ideal setting. In particular, every unbounded disjointness preserving linear functional of c0 can be co...

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ژورنال

عنوان ژورنال: Archiv der Mathematik

سال: 2016

ISSN: 0003-889X,1420-8938

DOI: 10.1007/s00013-016-0957-4