Basic Properties of Tempered ν-Sequence Spaces

Year 2025, Early View, 1 - 1

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

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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