Gâteaux Differentiability of Bump Functions in Banach Spaces |
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| Authors: | R. Maleev G. Nedev B. Zlatanov |
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| Affiliation: | a Department of Mathematics and Informatics, Sofia University, 5 James Bourchier str. Sofia, 1126, Bulgaria;b Department of Mathematics and Informatics, Plovdiv University, 24 Tzar Assen str. Plovdiv, 4000, Bulgaria |
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| Abstract: | Upper estimates for the order of Gâteaux smoothness of bump functions in Orlicz spaces ℓM(Γ) and Lorentz spaces d(w, p, Γ), Γ uncountable, are obtained. |
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| Keywords: | Orlicz spaces Lorentz spaces smooth bump functions |
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