On Stability of Non-Surjective Coarse Isometries of Banach Spaces
In this paper, we establish the stability of the almost-surjective coarse isometries of Banach spaces by means of the weak stability condition. In addition, we also discuss the existence of coarse left-inverse operators in classical Banach spaces. Making use of them, we generalize several known results related to ε-isometries.
Authors
- Yuqi Sun
- Wen Zhang (ORCID: https://orcid.org/0000-0001-9576-5644)
Institutions
- Xiamen University (CN)
- Inner Mongolia University (CN)
Publication Details
- Journal
- Axioms
- Published
- 2025-02-07
- DOI
- https://doi.org/10.3390/axioms14020122
- Primary Topic
- Advanced Banach Space Theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Natural Science Foundation of China