This is an announcement for the paper "The fixed point property for a class of nonexpansive maps in L\sp\infty(\Omega,\Sigma,\mu)" by Cleon S. Barroso.

Abstract: For a finite and positive measure space $(\Omega,\Sigma,\mu)$ and any weakly compact convex subset of $L\sp\infty(\Omega,\Sigma,mu)$, a fixed point theorem for a class of nonexpansive self-mappings is proved. An analogous result is obtained for the space $C(\Omega)$. An illustrative example is given.

Archive classification: Functional Analysis

Mathematics Subject Classification: 47H10

Remarks: 4 pages

The source file(s), Cleonfp.tex: 11461 bytes, is(are) stored in gzipped form as 0404235.gz with size 4kb. The corresponding postcript file has gzipped size 32kb.

Submitted from: cleonbar@mat.ufc.br

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