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<p>We give a brief account of some early and some recent results in the area now known as “lineability” and “spaceability.” Several examples, results, and open questions shall be presented. This article is an expanded version of a lecture given by the first author at a satellite conference of the 9ECM during June 2024, “From Classical to Modern Analysis: In memory of Professor José Carlos Petronilho.”</p>

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SOME COMMENTS ABOUT LINEABILITY AND NON-LINEABILITY

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年5月1日

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  • Richard M. Aron,
  • Juan B. Seoane-Sepúlveda

摘要

We give a brief account of some early and some recent results in the area now known as “lineability” and “spaceability.” Several examples, results, and open questions shall be presented. This article is an expanded version of a lecture given by the first author at a satellite conference of the 9ECM during June 2024, “From Classical to Modern Analysis: In memory of Professor José Carlos Petronilho.”