International Journal of Mathematics and Mathematical Sciences

International Journal of Mathematics and Mathematical Sciences / 1983 / Article

Open Access

Volume 6 |Article ID 493956 | https://doi.org/10.1155/S0161171283000605

I. E. Leonard, K. F. Taylor, "Supremum norm differentiability", International Journal of Mathematics and Mathematical Sciences, vol. 6, Article ID 493956, 9 pages, 1983. https://doi.org/10.1155/S0161171283000605

Supremum norm differentiability

Received01 Jun 1982

Abstract

The points of Gateaux and Fréchet differentiability of the norm in C(T,E) are obtained, where T is a locally compact Hausdorff space and E is a real Banach space. Applications of these results are given to the space (E) of all bounded sequences in E and to the space B(1,E) of all bounded linear operators from 1 into E

Copyright © 1983 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


More related articles

 PDF Download Citation Citation
 Order printed copiesOrder
Views171
Downloads399
Citations

We are committed to sharing findings related to COVID-19 as quickly as possible. We will be providing unlimited waivers of publication charges for accepted research articles as well as case reports and case series related to COVID-19. Review articles are excluded from this waiver policy. Sign up here as a reviewer to help fast-track new submissions.