Isolated and essentially isolated Volterra-type integral operators on generalized Fock spaces |
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Authors: | Tesfa Mengestie Mafuz Worku |
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Affiliation: | 1. Department of Language, Literature, Mathematics and Interpreting, Western Norway University of Applied Sciences, Stord, Norway;2. Department of Mathematics, Addis Ababa University, Addis Ababa, Ethiopia |
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Abstract: | We studied some topological properties of the space of bounded Volterra-type integral operators on generalized Fock spaces with weight function growing faster than the classical Gaussian function. In particular, the connected and path-connected components, isolated and essentially isolated points of the space are described. The result shows that while the space contains all the non-compact operators as its isolated points, it fails to admit essentially isolated points. |
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Keywords: | Generalized Fock spaces connected and path-connected components isolated points essentially isolated |
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