Abstract
We investigate spectral properties of integral operators of the form $$S_{g} f(z) = \frac{1}{z}\int\limits_0^z f(\omega )g(\omega )d\omega $$ acting on Banach spaces of analytic functions on the unit disc. In the case that g is a rational function, analytic on the unit disc, we obtain the spectrum, essential spectrum and index of S g . Finally, we give examples of such operators pertaining to hyponormality.
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