Work

I-Symmetric Spaces and the π-Images of Metric Spaces

Year: 2024

Type: article

Abstract: Symmetric spaces and sn-symmetric spaces, as a generalization of metric spaces, have many important properties and have been widely discussed. We consider characterizations and mapping properties of sn-symmetric spaces under ideal convergence. I-symmetric spaces and I-sn-symmetric spaces are defined and studied. These not only generalize some classical results on symmetric spaces but also provide new directions to study generalized metric spaces using the notion of ideal convergence. As an application of I-sn-symmetric spaces, some relevant properties of statistical convergence are obtained. Some unanswered questions in this field are raised.

Source: Axioms

DOI: 10.3390/axioms13090607

Authors: Fang Liu, Xiangeng Zhou, Li Liu, Shou Lin

Institution: Ningde Normal University

Language: English

Topic: Approximation Theory and Sequence Spaces

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,728

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