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Tong, Cezhong; Zhang, Zhan; Xu, Biao

Simply connected topological spaces of weighted composition operators. (English) Zbl 1494.47044

Open Math. 18, 1440-1450 (2020).
Summary: In this paper, we prove that the topological spaces of nonzero weighted composition operators acting on some Hilbert spaces of analytic functions on the unit open ball are simply connected.

MSC:

47B33 Linear composition operators
46E20 Hilbert spaces of continuous, differentiable or analytic functions

Keywords:

weighted composition operator; simple connectedness; deformation retraction; operator norm topology; Hilbert-Schmidt norm topology
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References:

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