The spectrum of Volterra operators on Korenblum type spaces of analytic functions. (English) Zbl 07123547
Summary: The continuity, compactness and the spectrum of the Volterra integral operator \(V_g\) with symbol an analytic function \(g\), when acting on the classical Korenblum space and other related weighted Fréchet or (LB) spaces of analytic functions on the open unit disc, are investigated.
MSC:
| 47G10 | Integral operators |
| 30D15 | Special classes of entire functions of one complex variable and growth estimates |
| 30D20 | Entire functions of one complex variable (general theory) |
| 46E15 | Banach spaces of continuous, differentiable or analytic functions |
| 47B07 | Linear operators defined by compactness properties |
| 47B37 | Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) |
| 47B38 | Linear operators on function spaces (general) |
Keywords:
spectrum; integral operator; Volterra operator; analytic functions; growth Banach spaces; Korenblum space; Fréchet spaces; (LB)-spacesReferences:
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