Smooth Norms in Orlicz Spaces
Canadian mathematical bulletin, Tome 34 (1991) no. 1, pp. 74-82
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Equivalent norms with best order of Frechet and uniformly Frechet differentiability in Orlicz spaces are constructed. Classes of Orlicz which admit infinitely many times Frechet differentiable equivalent norm are found.
Maleev, R. P.; Troyanski, S. L. Smooth Norms in Orlicz Spaces. Canadian mathematical bulletin, Tome 34 (1991) no. 1, pp. 74-82. doi: 10.4153/CMB-1991-012-7
@article{10_4153_CMB_1991_012_7,
author = {Maleev, R. P. and Troyanski, S. L.},
title = {Smooth {Norms} in {Orlicz} {Spaces}},
journal = {Canadian mathematical bulletin},
pages = {74--82},
year = {1991},
volume = {34},
number = {1},
doi = {10.4153/CMB-1991-012-7},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1991-012-7/}
}
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