Total boundness in vector-valued F-seminormed function spaces

We present a compactness criterion of Vitali-type in a class of vector-valued real F-seminormed spaces, which satisfy the W-property

On Convex Total Bounded Sets in the Space of Measurable Functions

We estimate the measure of nonconvex total boundedness in terms of simpler quantitative characteristics in the space of measurable functions  0. A Fréchet-Smulian type compactness criterion for convexly totally bounded subsets of 0 is established

A Note on Implicit Functions in Locally Convex Spaces

An implicit function theorem in locally convex spaces is proved. As an application we study the stability, with respect to a parameter , of the solutions of the Hammerstein equation in a locally convex space.</p

Total and Convex Total Boundedness in F-seminormed Spaces. Implicit Functions in Locally Convex Linear Space

Dottorato di Ricerca in Matematica ed Informatica, XXI Ciclo,2008-2009Università della Calabri