In this paper, we use the concept of lacunary statistic convergence to construct a linear metric space and then examine its topological properties. We show that the space includes the space of bounded sequence and the space of strong summable Cesaro of order one. Furthermore, the linear metric space is an FK-space but has not AK property.
Jurnal Matematika Murni dan Terapan Epsilon is a mathematics journal which is devoted to research articles from all fields of pure and applied mathematics including 1. Mathematical Analysis 2. Applied Mathematics 3. Algebra 4. Statistics 5. Computational ...