Supremum norm differentiability

I. E. Leonard and K. F. Taylor

International Journal of Mathematics and Mathematical Sciences, 1983, vol. 6, 1-9

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 ℓ ∞ ( E ) of all bounded sequences in E and to the space B ( ℓ 1 , E ) of all bounded linear operators from ℓ 1 into E

Date: 1983
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:493956

DOI: 10.1155/S0161171283000605

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