Semigroups of mappings with rigid Lipschitz constant

Llorens-Fuster, Enrique

doi:10.1090/S0002-9939-01-06333-X

Semigroups of mappings with rigid Lipschitz constant
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Proc. Amer. Math. Soc. 130 (2002), 1407-1412 Request permission

Abstract:

It is shown that two well-known uniformly fixed point free lipschitzian semigroups of mappings have minimal Lipschitz constant on the positive part of the unit ball of $\ell _2$. This implies that a question raised by T. Kuczumow has a negative answer.

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