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<p>This paper mainly intends to investigate some geometric properties of Taylor sequence spaces. We examine the uniform rotundity, uniform smoothness, and the Radon-Riesz property of these spaces. Our results provide new examples of sequence spaces with these properties, although they are not isomorphic to <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13660_2025_3294_Article_IEq1.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="16" /> </InlineMediaObject> <EquationSource Format="MATHML"><math> <msub> <mi>ℓ</mi> <mi>p</mi> </msub> </math></EquationSource> <EquationSource Format="TEX">$\ell_{p}$</EquationSource> </InlineEquation> spaces.</p>

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Geometric properties of Taylor sequence spaces

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年4月4日

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  • Gholamreza Talebi

摘要

This paper mainly intends to investigate some geometric properties of Taylor sequence spaces. We examine the uniform rotundity, uniform smoothness, and the Radon-Riesz property of these spaces. Our results provide new examples of sequence spaces with these properties, although they are not isomorphic to ℓ p $\ell_{p}$ spaces.