Abstract of a paper by Stanislaw Prus and Andrzej Wisnicki
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 The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/0706.0915 or http://arXiv.org/abs/0706.0915 or by email in unzipped form by transmitting an empty message with subject line uget 0706.0915 or in gzipped form by using subject line get 0706.0915 to: math@arXiv.org.
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Dale Alspach