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<p>In this paper we define some particular types (discrete, nondegenerate, pole, left pole, right pole) of the isolated points of the spectrum of linear relations acting on Banach spaces and we explore some of their properties. Then we introduce some concepts related to polaroid relations (a-polaroid, left polaroid, right polaroid) and we investigate their characterizations.</p>

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Discrete spectrum and polaroid linear relations

  • 期刊论文

  • 发表日期：

    2025年7月16日

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  • Aymen Ammar,
  • Maher Mnif,
  • Amel Souhail

摘要

In this paper we define some particular types (discrete, nondegenerate, pole, left pole, right pole) of the isolated points of the spectrum of linear relations acting on Banach spaces and we explore some of their properties. Then we introduce some concepts related to polaroid relations (a-polaroid, left polaroid, right polaroid) and we investigate their characterizations.