Basic Properties of Tempered ν-Sequence Spaces

Year 2025, Volume: 38 Issue: 2, 865 - 872, 01.06.2025

Minanur Rohman , İlker Eryılmaz , Nihat Altınışık , Moh. Nurul Huda , Eduardus Beo Seso Delvion

https://doi.org/10.35378/gujs.1403424

Abstract

In this paper, we will introduce tempered ν-sequence spaces generated by directed preserving generator ν. After building the spaces, we investigate and show tempered ν-sequence spaces are Banach spaces. In addition, we also find that there is an isomorphism between tempered ν-sequence spaces and the classical one. The direct implication is that some tempered ν-sequence spaces have a Schauder basis.

Keywords

Directed preserving generator , Tempering sequence , Banach space , Schauder basis

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