Approximative weak compactness
Abstract
Approximative weak compactness is studied for problems of $\min$- and $\max$-approximation. This leads naturally to certain ‘special points’ of approximation theory, namely the spaces characterizable in terms of approximative weak compactness type properties for various classical problems of approximation theory. Among these ‘special points’ appear the Kadec-Klee spaces $\mathrm{(KK)}$, as well as the $\mathrm{wDO}$-, $\mathrm{VDS}$-, $\mathrm{MAT}$-spaces, and the spaces in the class $(\mathrm{wDO})\cap (\mathrm{R})$. Bibliography: 29 titles.
Fields of Study & Subjects
Advanced Banach Space Theory
Approximation Theory and Sequence Spaces
Advanced Harmonic Analysis Research
Publication details
- Journal / source
- Математический сборник
- Volume
- 217
- Issue
- 3
- Pages
- 295–26
- Publication date
- 1 January 2026
- Language
- EN