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An example concerning normed subspaces of locally convex spaces


Author: Robert H. Lohman
Journal: Proc. Amer. Math. Soc. 41 (1973), 245-246
MSC: Primary 46A05
DOI: https://doi.org/10.1090/S0002-9939-1973-0322461-2
MathSciNet review: 0322461
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Abstract: An example is given of a nonmetrizable, nonbarrelled locally convex space that is the algebraic direct sum of two subspaces, each of which is a Banach space in the relative topology.


References [Enhancements On Off] (What's this?)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1973-0322461-2
Keywords: Locally convex space, normed subspace, direct sum
Article copyright: © Copyright 1973 American Mathematical Society

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