Uniqueness Results for the Infinite Unitary, Orthogonal and Associated Groups

Let H be a separable infinite dimensional complex Hilbert space, let U(H) be the Polish topological group of unitary operators on H, let G be a Polish topological group and φ:G→U(H) an algebraic isomorphism. Then φ is a topological isomorphism. The same theorem holds for the projective unitary group...

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Bibliographic Details
Main Author: Atim, Alexandru Gabriel
Other Authors: Kallman, Robert
Format: Others
Language:English
Published: University of North Texas 2008
Subjects:
Online Access:https://digital.library.unt.edu/ark:/67531/metadc6136/