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Theorems · Definition · functional analysis

Unitary.path

{A : Type u_1} → [inst : CStarAlgebra A] → (u v : ↥(unitary A)) → ‖↑v - ↑u‖ < 2 → Path u v

The path t ↦ expUnitary (t • argSelfAdjoint (v * star u)) * u from u : unitary A to v when ‖v - u‖ < 2.

Defined in
Mathlib.Analysis.CStarAlgebra.Unitary.Connected
Cited by
4 results in Mathlib
Foundations
Depth 318 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CStarAlgebra

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Cites11

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Cited by4

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