Statistically order compact operators on Riesz spaces

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Hacettepe Journal of Mathematics and Statistics
Volume:53 Issue:3
Statistically order compact operators on Riesz spaces

Statistically order compact operators on Riesz spaces

Pages : 628-636

View : 201 | Download : 363

Publication Date : 2024-06-27

Article Type : Research Paper

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.
Keywords : statistical order compact operator, statistical order convergence, statistical order bounded sequence, Riesz space

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