Geometric implications of the M(r,s)-properties and the uniform Kadec-Klee property in JB*-triples

Lei Li, Eduardo Nieto, Antonio M. Peralta

We explore new implications of the $M(r,s)$ and $M^{\ast }(r,s)$ properties for Banach spaces. We show that a Banach space $X$ satisfying property $M(1,s)$ for some $0<s\le 1$, admittin…