Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

A new characterization of barrelled spaces


Author: Helmut Pfister
Journal: Proc. Amer. Math. Soc. 65 (1977), 103-104
MSC: Primary 46A07
MathSciNet review: 0440327
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Abstract: A locally convex space E is barrelled if and only if $ {L_s}(E,F)$ is quasicomplete for every Banach space F.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1977-0440327-8
Article copyright: © Copyright 1977 American Mathematical Society