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Theorems · Definition · functional analysis

selfAdjoint.expUnitaryPathToOne

{A : Type u_1} → [inst : CStarAlgebra A] → (x : ↥(selfAdjoint A)) → Path 1 (selfAdjoint.expUnitary x)

For a selfadjoint element x in a C⋆-algebra, this is the path from 1 to expUnitary x given by t ↦ expUnitary (t • x).

Defined in
Mathlib.Analysis.CStarAlgebra.Unitary.Connected
Cited by
2 results in Mathlib
Foundations
Depth 184 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CStarAlgebra

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Cited by2

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