#kuiper's_theorem
Kuiper's theorem
Result on the topology of operators on an infinite-dimensional, complex Hilbert space
In mathematics, Kuiper's theorem (after Nicolaas Kuiper) is a result on the topology of operators on an infinite-dimensional, complex Hilbert space H. It states that the space GL(H) of invertible bounded endomorphisms of H is such that all maps from any finite complex Y to GL(H) are homotopic to a constant, for the norm topology on operators.
Sat 6th
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