Orlicz lattices with modular topology. I.
Marian Nowak (1989)
Commentationes Mathematicae Universitatis Carolinae
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Displaying similar documents to “Orlicz lattices with modular topology. II.”
Orlicz lattices with modular topology. I.
Fixed point theorem and application in modular space.
Marzouki, B. (2002)
Southwest Journal of Pure and Applied Mathematics [electronic only]
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Measures of non-compactness in Orlicz modular spaces.
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.
Linear functionals on Orlicz sequence spaces without local convexity.
Nowak, Marian (1992)
International Journal of Mathematics and Mathematical Sciences
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Order continuous linear functionals on non-locally convex Orlicz spaces
Marian Nowak (1992)
Commentationes Mathematicae Universitatis Carolinae
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The space of all order continuous linear functionals on an Orlicz space defined by an arbitrary (not necessarily convex) Orlicz function is described.