SPECTRUM AND COMPACTNESS OF THE CESÀRO OPERATOR ON WEIGHTED SPACES

Author:

ALBANESE ANGELA A.,BONET JOSÉ,RICKER WERNER J.

Abstract

An investigation is made of the continuity, the compactness and the spectrum of the Cesàro operator $\mathsf{C}$ when acting on the weighted Banach sequence spaces $\ell _{p}(w)$, $1<p<\infty$, for a positive decreasing weight $w$, thereby extending known results for $\mathsf{C}$ when acting on the classical spaces $\ell _{p}$. New features arise in the weighted setting (for example, existence of eigenvalues, compactness) which are not present in $\ell _{p}$.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference19 articles.

1. Spectra for Factorable Matrices on ℓp

2. On the spectrum of C1 as an operator on bv0

3. An Introduction to Banach Space Theory

4. Norms of certain operators on weighted ℓp spaces and Lorentz sequences spaces;Jameson;J. Inequal. Pure Appl. Math.,2002

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