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)

 

On the structure of certain bounded linear operators


Author: G. D. Allen
Journal: Proc. Amer. Math. Soc. 53 (1975), 404-406
MSC: Primary 46E30; Secondary 60G99
MathSciNet review: 0438098
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: If every function $ f$ in the range of a bounded linear operator on $ {L_p}$ is equal to zero on a set of measure greater than a fixed number $ \epsilon $, it is shown that there is a common set of measure $ \epsilon $ on which every function is zero. A decomposition theorem for such operators is proved.


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


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 46E30, 60G99

Retrieve articles in all journals with MSC: 46E30, 60G99


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1975-0438098-2
PII: S 0002-9939(1975)0438098-2
Article copyright: © Copyright 1975 American Mathematical Society