Supremum norm differentiability
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(ℓ1,E) of all bounded linear o...
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Main Authors: | I. E. Leonard, K. F. Taylor |
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Format: | Article |
Language: | English |
Published: |
Wiley
1983-01-01
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Series: | International Journal of Mathematics and Mathematical Sciences |
Subjects: | |
Online Access: | http://dx.doi.org/10.1155/S0161171283000605 |
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