Some properties of Hausdorff measure of noncompactness on locally bounded topological vector spaces. (English) Zbl 0947.46004
I. Jovanović and V. Rakočević [Publ. Inst. Math., New Ser. 56, 61-68 (1994; Zbl 0842.47018)] obtained some results on Hausdorff measure of noncompactness of bounded subsets of \(\ell^p\) spaces (\(p>0\)). In the present note the authors extend these results to arbitrary locally bounded Hausdorff topological vector spaces.
Reviewer: Zoran Kadelburg (Zemun)
MSC:
| 46A16 | Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) |
| 46A50 | Compactness in topological linear spaces; angelic spaces, etc. |
| 47H09 | Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc. |
