Abstract and Applied Analysis
Volume 6 (2001), Issue 2, Pages 115-129
doi:10.1155/S1085337501000483
On Milman's moduli for Banach spaces
Elisabetta Maluta1
, Stanisław Prus2
and Mariusz Szczepanik2
1Dipartimento di Matematica, Politecnico di Milano, Via Bonardi 9, Milano 20133, Italy
2Department of Mathematics, M. Curie-Skłodowska University, Lublin 20-031, Poland
Abstract
We show that infinite dimensional geometric moduli introduced by Milman are strongly related to nearly uniform convexity and nearly uniform smoothness. An application of those moduli to fixed point theory is given.