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Barrelledness Conditions on S (...;E) and B(...;E).

José Mendoza — 1982

Mathematische Annalen

On Denjoy-Dunford and Denjoy-Pettis integrals

José Gámez; José Mendoza — 1998

Studia Mathematica

The two main results of this paper are the following: (a) If X is a Banach space and f : [a,b] → X is a function such that x*f is Denjoy integrable for all x* ∈ X*, then f is Denjoy-Dunford integrable, and (b) There exists a Dunford integrable function $f : [a, b] \to c_{0}$ which is not Pettis integrable on any subinterval in [a,b], while $ʃ_{J} f$ belongs to $c_{0}$ for every subinterval J in [a,b]. These results provide answers to two open problems left by R. A. Gordon in [4]. Some other questions in connection with Denjoy-Dundord...

On the mutually non isomorphic $l_{p} (l_{q})$

Pilar Cembranos; Jose Mendoza — 2016

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

In this note we survey the partial results needed to show the following general theorem: $l_{p} (l_{q}) : 1 \leq p, q \leq + \infty$ is a family of mutually non isomorphic Banach spaces. We also comment some related facts and open problems.

On the Surjective Dunford-Pettis Property.

José Mendoza; P. Cembranos; F. Bombal — 1990

Mathematische Zeitschrift

On the surjective Dunford-Pettis property

Fernando Bombal; Pilar Cembranos; José Mendoza — 1989

Extracta Mathematicae

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