This is an announcement for the paper "A generalization of the Markov-Kakutani fixed point theorem" by Jaroslaw Wawrzycki.
Abstract: In this announcement we generalize the Markov-Kakutani fixed point theorem for abelian semi-groups of affine transformations extending it on some class of non-commutative semi-groups. As an interesting example we apply it obtaining a generalization of the invariant version of the Hahn-Banach theorem.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46A22, 46A55
Remarks: 5 pages, Latex preparation
The source file(s), kakutani.tex: 11176 bytes, is(are) stored in gzipped form as 0402255.gz with size 4kb. The corresponding postcript file has gzipped size 32kb.
Submitted from: Jaroslaw.Wawrzycki@ifj.edu.pl
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http://arXiv.org/abs/math.FA/0402255
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