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Modular Spaces And K-Widths, Asuman Güven Aksoy, Grzegorz Lewicki
Modular Spaces And K-Widths, Asuman Güven Aksoy, Grzegorz Lewicki
CMC Faculty Publications and Research
In this paper, we show that the ball measure of noncompactness of a modular space Xp is equal to the limit of its K -widths when p is a left continuous, s-convex modular function, without any ∆2-condition. We also obtain a similar result for SF-spaces, when the SF-norm N is uniformly continuous.