Simply connected topological spaces of weighted composition operators

Cezhong Tong, Zhan Zhang, Biao Xu
2020 Open Mathematics  
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.
doi:10.1515/math-2020-0082 fatcat:iwxlujylu5gypnsoyc6f5xi4wi