Theorems · Definition · functional analysis

StarSubalgebra.topologicalClosure

{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 : Algebra R A] →
              [inst_5 : StarRing A] →
                [inst_6 : StarModule R A] →
                  [IsSemitopologicalSemiring A] → [ContinuousStar A] → StarSubalgebra R A → StarSubalgebra R A

The closure of a star subalgebra in a topological star algebra as a star subalgebra.

Defined in

Mathlib.Topology.Algebra.StarSubalgebra

Cited by

22 results in Mathlib

Foundations

Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringStarRingTopologicalSpaceSemiringAlgebraStarRingStarModuleIsSemitopologicalSemiringContinuousStar