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arXiv · 1407.1869

Topological properties of the unitary group

Jesus Espinoza·Bernardo Uribe
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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.

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Jesus Espinoza, Bernardo Uribe. 2014-07-07. Topological properties of the unitary group. https://arxiv.org/abs/1407.1869

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