J Austral Math Soc Ser A 51 pp112--117, 1991.

An Ordered Suprabarrelled Space

J. C. Ferrando and M. López-Pellicer

Abstract

A locally convex space E is said to be ordered suprabarrelled if given any increasing sequence of subspaces of E covering E there is one of them which is suprabarrelled. In this paper we show that the space m₀(X, S), where X is any set and S is a s-algebra on X, is ordered suprabarrelled, given an affirmative answer to a previously raised question. We also include two applications of this result to the theory of vector measures.

1980 AMS Subject Classification (1985 Revision): primary 46A07; secondary 28C99

Browse the article

Authors

J. C. Ferrando

M. López-Pellicer

Departmento de Matemática Aplicada (ETSIA) Universidad Politécnica de Valencia, Apartado 22012, 46071-Valencia, Spain.