J. A. Cima

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Articles: 1

On a localization of the spectrum of a complex Volterra operator

Miron B. Bekker, Joseph A. Cima

↓ Abstract   |   Article (.pdf)

Methods Funct. Anal. Topology 25 (2019), no. 1, 12-14

A complex Volterra operator with the symbol $g=\log{(1+u(z))}$, where $u$ is an analytic self map of the unit disk $\mathbb D$ into itself is considered. We show that the spectrum of this operator on $H^p(\mathbb D)$, $1\le p<\infty$, is located in the disk $\{\lambda:|\lambda+p/2|\leq p/2\}$.

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