Jesús Ferrer

On the Hahn-Banach Theorem in Certain Linear Quasi-uniform Structures

A Hahn-Banach type theorem in the frame of quasi-normed spaces (a class of linear spaces with a quasi-uniform structure that contains all linear lattices) is given. The classical result for positive functionals follows as a particular case.

On a class of real normed lattices

AbstractWe say that a real normed lattice is quasi-Baire if the intersection of each sequence of monotonic open dense sets is dense. An example of a Baire-convex space, due to M. Valdivia, which is not quasi-Baire is given. We obtain that E is a quasi-Baire space iff

The controlled separable projection property for Banach spaces

(E,T(\mathcal{U}),T((\mathcal{U}^{ - 1} ))

A NOTE ON ZEROES OF REAL POLYNOMIALS IN C(K) SPACES

is a pairwise Baire bitopological space, where

On the zero-set of 2-homogeneous polynomials in Banach spaces

\mathcal{U}

A vector approach to Euler's line of a triangle

, is a quasi-uniformity that determines, in L. Nachbins sense, the topological ordered space E.