Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4615392 | Journal of Mathematical Analysis and Applications | 2015 | 27 Pages |
Abstract
We prove several results concerning local approach to Kadec-Klee properties with respect to global (local) convergence in measure in symmetric Banach function spaces which may be of independent interest. Moreover, we prove characterizations of these properties in the Lorentz spaces. Finally, we show applications of Hg and Hl points to the local best dominated approximation problems in Banach lattices.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Maciej Ciesielski, PaweÅ Kolwicz, Ryszard PÅuciennik,