Mathematics – Functional Analysis
Scientific paper
2004-02-16
Mathematics
Functional Analysis
5 pages, Latex preparation
Scientific paper
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.
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