On the form of pointwise continuous positive functionals and isomorphisms of function spaces
S. Mrówka (1961)
Studia Mathematica
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S. Mrówka (1961)
Studia Mathematica
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W. Orlicz (1966)
Studia Mathematica
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Shôzô Koshi, Tetsuya Shimogaki (1961)
Studia Mathematica
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Carlo Bardaro, Ilaria Mantellini (2006)
Mathematica Slovaca
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Hans Herda (1968)
Studia Mathematica
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R. Leśniewicz (1973)
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Tetsuya Shimogaki (1963)
Studia Mathematica
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A. G. Aksoy, J.-B. Baillon (1993)
Collectanea Mathematica
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In this paper we show that the ball-measure of non-compactness of a norm bounded subset of an Orlicz modular space L-Psi is equal to the limit of its n-widths. We also obtain several inequalities between the measures of non-compactness and the limit of the n-widths for modular bounded subsets of L-Psi which do not have Delta-2-condition. Minimum conditions on Psi to have such results are specified and an example of such a function Psi is provided.
H. H. Herda (1967)
Colloquium Mathematicae
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