Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

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
MathSciNet review: 0322461
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 46A05

Retrieve articles in all journals with MSC: 46A05


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1973-0322461-2
PII: S 0002-9939(1973)0322461-2
Keywords: Locally convex space, normed subspace, direct sum
Article copyright: © Copyright 1973 American Mathematical Society