Essential supremum norm differentiability

I. E. Leonard and K. F. Taylor

International Journal of Mathematics and Mathematical Sciences, 1985, vol. 8, 1-7

Abstract:

The points of Gateaux and Fréchet differentiability in L ∞ ( μ , X ) are obtained, where ( Ω , ∑ , μ ) is a finite measure space and X is a real Banach space. An application of these results is given to the space B ( L 1 ( μ , ℝ ) , X ) of all bounded linear operators from L 1 ( μ , ℝ ) into X .

Date: 1985
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:964312

DOI: 10.1155/S0161171285000473

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