Topological properties of the unitary group
Algebraic Topology
2021-03-08 v1
Abstract
We show that the strong operator topology, the weak operator topology and the compact-open topology agree on the space of unitary operators of a infinite dimensional separable Hilbert space. Moreover, we show that the unitary group endowed with any of these topologies is a Polish group.
Keywords
Cite
@article{arxiv.1407.1869,
title = {Topological properties of the unitary group},
author = {Jesus Espinoza and Bernardo Uribe},
journal= {arXiv preprint arXiv:1407.1869},
year = {2021}
}
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6 pages