DOI: https://doi.org/10.14710/jfma.v0i0.26542

SOME PROPERTIES OF MODULAR TOPOLOGY IN THE ORLICZ SEQUENCE SPACE

*Haryadi Haryadi orcid scopus publons  -  Depertment of Computer Science, Universitas Muhammadiyah Palangkaraya, , Indonesia
Solikhin Solikhin  -  Department of Mathematics FSM Universitas Diponegoro, , Indonesia

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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.

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Keywords: modular; Orliz; sequence,;topology

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Section: FUNDAMENTAL MATHEMATICS AND APPLICATIONS
Language : EN
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