International Journal of Mathematics and Mathematical Sciences

International Journal of Mathematics and Mathematical Sciences / 1983 / Article

Open Access

Volume 6 |Article ID 493956 |

I. E. Leonard, K. F. Taylor, "Supremum norm differentiability", International Journal of Mathematics and Mathematical Sciences, vol. 6, Article ID 493956, 9 pages, 1983.

Supremum norm differentiability

Received01 Jun 1982


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.

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