SOME PROPERTIES OF MODULAR TOPOLOGY IN THE ORLICZ SEQUENCE SPACE

Haryadi, Haryadi
Solikhin, Solikhin

Journal of Fundamental Mathematics and Applications (JFMA)
Vol 8, No 2 (2025)

In this article, we examined some properties of modular topology on the Orlicz sequence space. Discussions were conducted by constructing the topology on the sequence space using a modular neighborhood of zero. The neighborhood forms a local base that is balanced, absorbing, and symmetrical. Furthermore, if the Orlicz function that grows not soo rapidly, the modular neighborhood induces a topological vector space. We also characterize the modular boundedness, modular convergence, and modular closed set on the sequence space.