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In this article, we conduct a comprehensive study on the continuity, compactness, and spectral properties of Rhaly operators and generalized Cesàro operators, acting on weighted null sequence spaces. We determine the point spectrum, continuous spectrum, and residual spectrum for compact Rhaly operators and compact generalized Cesàro operators. Additionally, we explore Goldberg’s classifications of Rhaly operators over weighted null sequence spaces.

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Spectral Properties of the Compact Rhaly and Compact Generalized Cesàro Operators on Weighted \(c_0\) Spaces

  • 会议论文

  • 发表日期：

    2026年

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  • Jyoti Rani,
  • Arnab Patra

摘要

In this article, we conduct a comprehensive study on the continuity, compactness, and spectral properties of Rhaly operators and generalized Cesàro operators, acting on weighted null sequence spaces. We determine the point spectrum, continuous spectrum, and residual spectrum for compact Rhaly operators and compact generalized Cesàro operators. Additionally, we explore Goldberg’s classifications of Rhaly operators over weighted null sequence spaces.