Bounded function
Set
| context | ⟨X,d⟩ … metric space |
| definiendum | f∈BoundedFunction(X) |
| range | x,a∈X |
| range | M∈R |
| postulate | ∃a,M. ∀x. d(f(x),a)<M |
Discussion
For linear operators between normed vector spaces, being bounded for each input element and continuous coincide.
Reference
Wikipedia: Bounded function
Parents
Subset of
Context
