English
Definition turning a linear map from the scalar field into a continuous linear map.
Русский
Определение перехода линейной карты из поля скаляров в непрерывное линейное отображение.
LaTeX
$${𝕜 ↦ 𝕜 → E} → {𝕜 →L 𝕜 E}$$
Lean4
/-- `LinearIsometryClass F R E E₂` asserts `F` is a type of bundled `R`-linear isometries
`M → M₂`.
This is an abbreviation for `SemilinearIsometryClass F (RingHom.id R) E E₂`.
-/
abbrev LinearIsometryClass (𝓕 : Type*) (R E E₂ : outParam Type*) [Semiring R] [SeminormedAddCommGroup E]
[SeminormedAddCommGroup E₂] [Module R E] [Module R E₂] [FunLike 𝓕 E E₂] :=
SemilinearIsometryClass 𝓕 (RingHom.id R) E E₂