Theorems · Definition · functional analysis

StarAlgebra.elemental

(R : Type u_1) →
  {A : Type u_2} →
    [inst : CommSemiring R] →
      [inst_1 : StarRing R] →
        [inst_2 : TopologicalSpace A] →
          [inst_3 : Semiring A] →
            [inst_4 : StarRing A] →
              [IsSemitopologicalSemiring A] →
                [ContinuousStar A] → [inst_7 : Algebra R A] → [inst_8 : StarModule R A] → A → StarSubalgebra R A

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

Defined in

Mathlib.Topology.Algebra.StarSubalgebra

Cited by

26 results in Mathlib

Foundations

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

Assumes

CommSemiringStarRingTopologicalSpaceSemiringStarRingIsSemitopologicalSemiringContinuousStarAlgebraStarModule