We study Hahn-Banach extensions of multilinear forms defined on Banach sequence spaces. We characterize c0 in terms of extension of bilinear forms, and describe the Banach sequence spaces in which every bilinear form admits ...

We prove three new dichotomies for Banach spaces a la W.T. Gowers` dichotomies. The three dichotomies characterise respectively the spaces having no minimal subspaces, having no subsequentially minimal basic sequences, and ...

The objective of this work is to enunciate and demonstrate Banach's Theorem, about fixed points of contractions, then presenting applications of this theorem in the resolution of a nonlinear equation and in the important ...

We establish Hölder type inequalities for Lorentz sequence spaces and their duals. In order to achieve these and some related inequalities, we study diagonal multilinear forms in general sequence spaces, and obtain estimates ...