Theorems · Theorem · functional analysis
ContinuousLinearMap.adjoint_toSpanSingleton
∀ {𝕜 : Type u_1} {E : Type u_2} [inst : RCLike 𝕜] [inst_1 : NormedAddCommGroup E] [inst_2 : InnerProductSpace 𝕜 E]
[inst_3 : CompleteSpace E] (x : E),
ContinuousLinearMap.adjoint (ContinuousLinearMap.toSpanSingleton 𝕜 x) = (innerSL 𝕜) x- Cited by
- 0 results in Mathlib
- Foundations
- Depth 195 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- RingHom.idstatement · cited by 18,349
- NormedAddCommGroupstatement and proof · cited by 15,752
- ContinuousLinearMapstatement · cited by 5,352
- InnerProductSpacestatement and proof · cited by 3,523
- RCLikestatement and proof · cited by 2,829
- CompleteSpacestatement and proof · cited by 2,532
- LinearIsometryEquivstatement · cited by 748
- starRingEndstatement · cited by 671
- ContinuousLinearMap.toSpanSingletonstatement · cited by 133
- innerSLstatement and proof · cited by 93
- ContinuousLinearMap.adjointstatement and proof · cited by 82
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