Path connected components of the space of Volterra-type integral operators
Functional Analysis
2018-02-26 v1 Complex Variables
Abstract
We study the topological structure of the space of Volterra-type integral operators on Fock spaces endowed with the operator norm. We proved that the space has the same connected and path connected components which is the set of all compact operators acting on the Fock spaces. We also obtained a characterization of isolated points of the space of the operators and showed that there exists no essentially isolated Volterra-type integral operator.
Keywords
Cite
@article{arxiv.1802.08419,
title = {Path connected components of the space of Volterra-type integral operators},
author = {Tesfa Mengestie},
journal= {arXiv preprint arXiv:1802.08419},
year = {2018}
}