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Spectral Properties of Generalized Cesàro Operators

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Abstract.

We investigate spectral properties of operators on H2 of the form

$$ \mathcal{C}_g (f)(z) = \frac{1} {z}\int\limits_0^z {f(t)g(t)dt} . $$

We describe the fine spectrum when g is a rational function. We also provide useful relations for these operators in the Calkin algebra.

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Authors and Affiliations

  1. Department of Mathematics, University Of South Carolina, Columbia, SC, 29208, USA

    Scott W. Young

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  1. Scott W. Young
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Correspondence to Scott W. Young.

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Submitted: August 21, 2003

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Young, S.W. Spectral Properties of Generalized Cesàro Operators. Integr. equ. oper. theory 50, 129–146 (2004). https://doi.org/10.1007/s00020-003-1286-0

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  • DOI: https://doi.org/10.1007/s00020-003-1286-0

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