instContinuousSMul — Mathlib

English

There is a continuous scalar multiplication on C⋆ᵐᵒᵈ(A,E) induced by the linear equivalence.

Русский

Существует непрерывное умножение на скаляры на C⋆ᵐᵒᵈ(A,E), индуцированное линейным эквивалентом.

LaTeX

$$$ \text{ContinuousSMul}(R, C⋆ᵐᵒᵈ(A,E))$$$

Lean4

instance [Semiring R] [TopologicalSpace R] [AddCommGroup E] [UniformSpace E] [Module R E] [ContinuousSMul R E] :
    ContinuousSMul R C⋆ᵐᵒᵈ(A, E) :=
  ContinuousSMul.induced (linearEquiv R A E)

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