Large subsets of dual Banach spaces
Les points extremes et les points unis de la boule unitée étudiés au moyen du semi-produit scalaire
Limit semigroups of Bernstein-Schnabl operators associated with positive projections
Lipschitz extensions of convex-valued maps
Si dimostra che ogni funzione multivoca lipschitziana con costante di Lipschitz , definita su un sottoinsieme di uno spazio di Hilbert a valori compatti e convessi in , può essere estesa su tutto ad una funzione multivoca lipschitziana con costante minore di 7 nM. In generale, non esistono invece estensioni aventi la stessa costante di Lipschitz .
Local completeness of locally pseudoconvex spaces and Borwein-Preiss variational principle
The notion of local completeness is extended to locally pseudoconvex spaces. Then a general version of the Borwein-Preiss variational principle in locally complete locally pseudoconvex spaces is given, where the perturbation is an infinite sum involving differentiable real-valued functions and subadditive functionals. From this, some particular versions of the Borwein-Preiss variational principle are derived. In particular, a version with respect to the Minkowski gauge of a bounded closed convex...