Theorems · Definition · functional analysis

NonUnitalStarAlgebra.elemental

(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] →
              [IsScalarTower R A A] →
                [SMulCommClass R A A] →
                  [StarModule R A] →
                    [inst_8 : TopologicalSpace A] →
                      [IsSemitopologicalSemiring A] →
                        [ContinuousConstSMul R A] → [ContinuousStar A] → A → NonUnitalStarSubalgebra R A

The topological closure of the non-unital star subalgebra generated by a single element.

Defined in

Mathlib.Topology.Algebra.NonUnitalStarAlgebra

Cited by

19 results in Mathlib

Foundations

Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringStarRingNonUnitalSemiringStarRingModuleIsScalarTowerSMulCommClassStarModuleTopologicalSpaceIsSemitopologicalSemiringContinuousConstSMulContinuousStar