Theorems · Theorem · general topology
ContinuousMap.summable_of_locally_summable_norm
∀ {X : Type u_1} [inst : TopologicalSpace X] [LocallyCompactSpace X] {E : Type u_2} [inst_2 : NormedAddCommGroup E]
[CompleteSpace E] {ι : Type u_3} {F : ι → C(X, E)},
(∀ (K : TopologicalSpace.Compacts X), Summable fun i => ‖ContinuousMap.restrict (↑K) (F i)‖) → Summable F- Defined in
- Mathlib.Topology.ContinuousMap.Compact
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 178 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites27
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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Cited by2
Results whose statement or proof uses this declaration.
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- Real.fourierCoeff_tsum_comp_addproof · cited by 1