This is an announcement for the paper "On the fixed point property in direct sums of Banach spaces with strictly monotone norms" by Stanislaw Prus and Andrzej Wisnicki.

Abstract: It is shown that if a Banach space X has the super fixed point property for nonexpansive mappings or admits a 1-unconditional basis and Y satisfies property asymptotic (P) (which is weaker than the condition WCS(Y)>1), then the direct sum of X and Y endowed with a strictly monotone norm enjoys the weak fixed point property.

Archive classification: math.FA

Mathematics Subject Classification: 47H09; 46B20

Remarks: 12 pages

The source file(s), direct_p.tex: 35126 bytes, is(are) stored in gzipped form as 0706.0915.gz with size 10kb. The corresponding postcript file has gzipped size 86kb.

Submitted from: awisnic@golem.umcs.lublin.pl

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http://arXiv.org/abs/0706.0915

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