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Theorems · Definition · functional analysis

BoundedContinuousFunction.nnnorm

{α : Type u} → [inst : TopologicalSpace α] → BoundedContinuousFunction α ℝ → BoundedContinuousFunction α NNReal

The absolute value of a bounded continuous ℝ-valued function as a bounded continuous ℝ≥0-valued function.

Defined in
Mathlib.Topology.ContinuousMap.Bounded.Normed
Cited by
1 results in Mathlib
Foundations
Depth 159 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpace
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

BoundedContinuousFunction.nnnorm_coeFn_eq · cited by 0BoundedContinuousFunction…Real · cited by 25697RealTopologicalSpace · cited by 24529TopologicalSpaceNNReal · cited by 4310NNRealNNNorm.nnnorm · cited by 952NNNorm.nnnormBoundedContinuousFunction · cited by 511BoundedContinuousFunctionBoundedContinuousFunction.comp · cited by 12BoundedContinuousFunction…BoundedContinuousFunction.nnn…CITED BYCITES

Cites6

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Cited by1

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