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All Journal Journal of Fundamental Mathematics and Applications (JFMA)
Haryadi Haryadi
Depertment of Computer Science, Universitas Muhammadiyah Palangkaraya, Jl RTA Milono Km 1,5 Palangka Raya, Kalimantan Tengah, Indonesia, 73111.
Decision Sciences, Operations Research & Management

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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)
Publisher : Diponegoro University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.14710/jfma.v0i0.26542

Abstract

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.
Co-Authors Solikhin Solikhin