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<p>The focus of this review article is an algebraic and analytic analysis of operator nets. After discussing the asymptotic equivalence of nets on convergence vector lattices, we investigate Lotz-Räbiger’s nets on Banach spaces and Banach lattices. Additionally, we offer a short overview of the nonstandard approach to absorbing nets.</p>

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Asymptotically equivalent nets: a survey

  • 期刊论文

  • 发表日期：

    2025年4月1日

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  • Eduard Emelyanov,
  • Nazife Erkurşun-Özcan

摘要

The focus of this review article is an algebraic and analytic analysis of operator nets. After discussing the asymptotic equivalence of nets on convergence vector lattices, we investigate Lotz-Räbiger’s nets on Banach spaces and Banach lattices. Additionally, we offer a short overview of the nonstandard approach to absorbing nets.