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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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