Work

On Stability of Non-Surjective Coarse Isometries of Banach Spaces

Year: 2025

Type: article

Abstract: 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.

Source: Axioms

DOI: 10.3390/axioms14020122

Authors: Yuqi Sun, Wen Zhang

Institutions: Inner Mongolia University, Xiamen University

Language: English

Topic: Advanced Banach Space Theory

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,896

Funders: National Natural Science Foundation of China, Natural Science Foundation of Fujian Province