Lineability and algebrability within $p-$adic function spaces

J. Khodabandehlou; S. Maghsoudi; J. B. Seoane-Sepúlveda

doi:10.36045/j.bbms.200416

Abstract

In this paper, we continue the ongoing research on lineability and algebrability within the context of $p$--adic analysis. This work serves a twofold purpose. Firstly, we improve and, at times, generalize some already known results within this fields and, secondly, we present some new results which have no counterpart in the classical Archimedean framework.

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J. Khodabandehlou. S. Maghsoudi. J. B. Seoane-Sepúlveda. "Lineability and algebrability within $p-$adic function spaces." Bull. Belg. Math. Soc. Simon Stevin 27 (5) 711 - 729, december 2020. https://doi.org/10.36045/j.bbms.200416

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Published: december 2020

First available in Project Euclid: 24 December 2020

MathSciNet: MR4194219

Digital Object Identifier: 10.36045/j.bbms.200416

Subjects:

Primary: 12J25 , 26E30 , 46B87 , ‎46S10 , 5A03

Keywords: $p$-adic continuous functions , $p$-adic differentiable functions , $p$-adic numbers , algebrability , lineability

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