Classical Concepts of Approximation Theory in Asymmetric CLUR-Spaces
Approximative compactness and stability of the metric projection, which are classical concepts of approximation theory, are extended to asymmetric spaces. Most emphasis here is placed on the classes (CLUR) and (CCLUR) of asymmetric spaces. New concepts of OR-stability, $$\pi$$ -solarity, and regular approximative compactness are introduced.
Authors
- A. R. Alimov (ORCID: https://orcid.org/0000-0001-8806-1593)
- Игорь Германович Царьков (ORCID: https://orcid.org/0000-0002-5943-3711)
Institutions
- Russian Academy of Sciences (RU)
- Lomonosov Moscow State University (RU)
- Steklov Mathematical Institute (RU)
- Moscow Center For Continuous Mathematical Education (RU)
Publication Details
- Journal
- Mathematical Notes
- Published
- 2024-10-01
- DOI
- https://doi.org/10.1134/s0001434624090025
- Citations
- 5
- Primary Topic
- Advanced Banach Space Theory
- Type
- article
- Field-Weighted Citation Impact
- 4.45