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)

 

Unconditional convergence and weakly compact maps


Author: Santiago Díaz
Journal: Proc. Amer. Math. Soc. 117 (1993), 417-422
MSC: Primary 46B10; Secondary 46A08, 46B25
MathSciNet review: 1111216
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We characterize the barrelled spaces $ E$ such that every linear continuous map from $ E$ to $ {l_1}$ carries bounded sets into relatively compact sets. These characterizations involve unconditional convergence of series, Edgar's ordering for Banach spaces, perfect sequence spaces, copies of $ {c_0}$, and Orlicz-Pettis topologies.


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


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 46B10, 46A08, 46B25

Retrieve articles in all journals with MSC: 46B10, 46A08, 46B25


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1993-1111216-X
PII: S 0002-9939(1993)1111216-X
Article copyright: © Copyright 1993 American Mathematical Society