Year: 2023
Type: article
Abstract: This research paper introduces and establishes the concept of compact operators in the context of Riesz spaces, specifically considering statistical order convergence. We define statistical order compact operators as operators that map statistical order bounded sequences to sequences with statistical order convergent subsequences. Additionally, we define statistical $M$-weakly compact operators. By utilizing these non-topological concepts, we derive some new results pertaining to these operators.
Author: Abdullah Aydın
Institution: Muş Alparslan University
Language: English
Topic: Advanced Banach Space Theory
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4385842917