JP Journal of Geometry and Topology
Volume 16, Issue 1, Pages 45 - 55
(August 2014)
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TOPOLOGICAL PROPERTIES OF THE UNITARY GROUP
Jesús Espinoza and 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 an infinite dimensional separable Hilbert space. Moreover, we show that the unitary group endowed with any of these topologies is a Polish group. |
| Keywords and phrases: unitary group, strong operator topology, compact open topology. |
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