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arXiv · 2510.10550

Spectral Properties of the Compact Rhaly and Compact Generalised Ces{\`a}ro Operators on Weighted $c_0$ Spaces

Jyoti Rani·Arnab Patra
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Abstract

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

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Jyoti Rani, Arnab Patra. 2025-10-12. Spectral Properties of the Compact Rhaly and Compact Generalised Ces{\`a}ro Operators on Weighted $c_0$ Spaces. https://arxiv.org/abs/2510.10550

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