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

Remote Access
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)


On the existence of strongly series summable Markuschevich bases in Banach spaces

Author: William B. Johnson
Journal: Trans. Amer. Math. Soc. 157 (1971), 481-486
MSC: Primary 46.10
MathSciNet review: 0282201
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: The main result is: Let $ X$ be a complex separable Banach space. If the identity operator on $ {X^ \ast }$ is the limit in the strong operator topology of a uniformly bounded net of linear operators of finite rank, then $ X$ admits a strongly series summable Markuschevich basis.

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

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 46.10

Retrieve articles in all journals with MSC: 46.10

Additional Information

PII: S 0002-9947(1971)0282201-5
Keywords: Strongly series summable Markuschevich bases, complete biorthogonal sequences, Schauder bases, metric approximation property
Article copyright: © Copyright 1971 American Mathematical Society

Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia