Theorems · Theorem · functional analysis

NonUnitalStarAlgebra.elemental.le_centralizer_centralizer

∀ (R : Type u_1) {A : Type u_2} [inst : CommSemiring R] [inst_1 : StarRing R] [inst_2 : NonUnitalSemiring A]
  [inst_3 : StarRing A] [inst_4 : Module R A] [inst_5 : IsScalarTower R A A] [inst_6 : SMulCommClass R A A]
  [inst_7 : StarModule R A] [inst_8 : TopologicalSpace A] [inst_9 : IsSemitopologicalSemiring A]
  [inst_10 : ContinuousConstSMul R A] [inst_11 : ContinuousStar A] [T2Space A] (x : A),
  NonUnitalStarAlgebra.elemental R x ≤
    NonUnitalStarSubalgebra.centralizer R ↑(NonUnitalStarSubalgebra.centralizer R {x})

Defined in

Mathlib.Topology.Algebra.NonUnitalStarAlgebra

Cited by

0 results in Mathlib

Foundations

Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringStarRingNonUnitalSemiringStarRingModuleIsScalarTowerSMulCommClassStarModuleTopologicalSpaceIsSemitopologicalSemiringContinuousConstSMulContinuousStarT2Space