Spectral Properties of the Compact Rhaly and Compact Generalised Ces\`aro Operators on Weighted c0 Spaces
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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