Statistically order compact operators on Riesz spaces
Affiliation:
1. MUS ALPARSLAN UNIVERSITY
Abstract
In this paper, we state and establish the concept of compact operators defined between Riesz spaces with respect to statistical order convergence. An operator mapping any statistical order bounded sequence to a sequence with a statistical order convergent subsequence between Riesz spaces is called statistical order compact. Moreover, we also define the notion of statistical M-weakly compact operators. By applying these nontopological concepts, we obtain some new results about these operators.
Publisher
Hacettepe University
Subject
Geometry and Topology,Statistics and Probability,Algebra and Number Theory,Analysis
Cited by
1 articles.
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