Theorems · Theorem · operator theory
LinearPMap.graph_adjoint_toLinearPMap_eq_adjoint
∀ {𝕜 : Type u_1} {E : Type u_2} {F : Type u_3} [inst : RCLike 𝕜] [inst_1 : NormedAddCommGroup E]
[inst_2 : InnerProductSpace 𝕜 E] [inst_3 : NormedAddCommGroup F] [inst_4 : InnerProductSpace 𝕜 F] {T : E →ₗ.[𝕜] F}
[inst_5 : CompleteSpace E], Dense ↑T.domain → T.graph.adjoint.toLinearPMap = T.adjoint- Cited by
- 0 results in Mathlib
- Foundations
- Depth 233 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites22
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- RingHom.idstatement and proof · cited by 18,349
- NormedAddCommGroupstatement and proof · cited by 15,752
- SetLike.coestatement and proof · cited by 8,199
- Submodulestatement and proof · cited by 7,192
- InnerProductSpacestatement and proof · cited by 3,523
- RCLikestatement and proof · cited by 2,829
- CompleteSpacestatement and proof · cited by 2,532
- Inner.innerproof · cited by 1,089
- Densestatement and proof · cited by 359
- zero_subproof · cited by 335
- LinearPMapstatement and proof · cited by 179
- LinearPMap.domainstatement and proof · cited by 167
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