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Teorema de Ramsey aplicado a álgebras de Boole.

F. Benítez Trujillo — 1990

Collectanea Mathematica

Some properties of Boolean algebras are characterized through the topological properties of a certain space of countable sequences of ordinals. For this, it is necessary to prove the Ramsey theorems for an arbitrary infinite cardinal. Also, we define continuous mappings on these spaces from vector measures on the algebra.

Characterizations of completeness of normed spaces through weakly unconditionally Cauchy series

Francisco Javier Pérez Fernández;  F. Benítez-Trujillo;  Antonio Aizpuru Tomás — 2000

Czechoslovak Mathematical Journal

In this paper we obtain two new characterizations of completeness of a normed space through the behaviour of its weakly unconditionally Cauchy series. We also prove that barrelledness of a normed space X can be characterized through the behaviour of its weakly- * unconditionally Cauchy series in X * .

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