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

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

 

The oscillation of an operator on $ L\sp{p}$


Authors: George R. Barnes and Robert Whitley
Journal: Trans. Amer. Math. Soc. 211 (1975), 339-351
MSC: Primary 47B37
MathSciNet review: 0405158
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We introduce and discuss the oscillation of an operator T mapping $ {L^p}(S,\Sigma ,\mu )$ into a Banach space. We establish results relating the oscillation, a ``local norm", to the norm of the operator. Also using the oscillation we define a generalization of the Fredholm operators T with index $ \kappa (T) < \infty $ and a corresponding perturbation class which contains the compact operators.


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


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 47B37

Retrieve articles in all journals with MSC: 47B37


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1975-0405158-6
PII: S 0002-9947(1975)0405158-6
Keywords: Diffuse operator, $ {c_0}$ operator, compact operator, concentrated operator, semi-Fredholm operator, Fredholm operator, perturbation theory
Article copyright: © Copyright 1975 American Mathematical Society