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Subjects
46-XX Functional analysis
46Axx Topological linear spaces and related structures
46A08 Barrelled spaces, bornological spaces

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Normed barrelled spaces

Christopher Stuart (2000)

Banach Center Publications

In this paper we present a general “gliding hump” condition that implies the barrelledness of a normed vector space. Several examples of subspaces of $l^{1}$ 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]).

Nouvelles classes d'espaces localement convexes

Khalil Noureddine (1973)

Publications du Département de mathématiques (Lyon)

Nuclear and Product Spaces, Baire-Like Spaces, and the Strongest Locally Convex Topology.

Stephan A. Saxon (1972)

Mathematische Annalen

Currently displaying 1 – 3 of 3

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