Theorems · Theorem · functional analysis
Unitary.norm_argSelfAdjoint_le_pi
∀ {A : Type u_1} [inst : CStarAlgebra A] (u : ↥(unitary A)), ‖Unitary.argSelfAdjoint u‖ ≤ Real.pi- Cited by
- 3 results in Mathlib
- Foundations
- Depth 314 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CStarAlgebra
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- Complexproof · cited by 5,565
- Norm.normstatement · cited by 5,413
- AddSubgroupstatement · cited by 3,232
- Submonoidstatement · cited by 3,086
- Real.pistatement and proof · cited by 1,774
- le_of_ltproof · cited by 1,175
- spectrumproof · cited by 510
- Complex.argproof · cited by 220
- unitarystatement and proof · cited by 207
- Real.pi_posproof · cited by 173
- selfAdjointstatement · cited by 135
Cited by3
Results whose statement or proof uses this declaration.
- Unitary.two_mul_one_sub_cos_norm_argSelfAdjointproof · cited by 2
- Unitary.norm_expUnitary_smul_argSelfAdjoint_sub_one_leproof · cited by 1
- Unitary.norm_argSelfAdjointproof · cited by 0