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ArticleOriginal scientific text

Title

Normed barrelled spaces

Authors 1

Affiliations

  1. Department of Mathematical Sciences, Eastern New Mexico University, Station 18, Portales, NM 88130, U.S.A.

Abstract

In this paper we present a general "gliding hump" condition that implies the barrelledness of a normed vector space. Several examples of subspaces of l1 are shown to be barrelled using the theorem. The barrelledness of the space of Pettis integrable functions is also implied by the theorem (this was first shown in [3]).

Bibliography

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Banach Center Publications
2000/53/1
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Pages:
205-210
Main language of publication
English
Published
2000
Exact and natural sciences