Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

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

 

 

A barrelled space without a basis


Author: N. J. Kalton
Journal: Proc. Amer. Math. Soc. 26 (1970), 465-466
MSC: Primary 46.01
MathSciNet review: 0273353
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: An example is given of a separable, barrelled, nuclear, bornological Ptak space which has no Schauder basis.


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


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 46.01

Retrieve articles in all journals with MSC: 46.01


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1970-0273353-6
Keywords: Locally convex spaces, basis, separable, barrelled, nuclear
Article copyright: © Copyright 1970 American Mathematical Society