Bounded linear operator
Set
| context | V,W … normed vector spaces |
| definiendum | A∈BoundedLinOp(V,W) |
| postulate | A∈Hom(V,W) |
| range | M∈R,M>0 |
| v∈V | |
| postulate | ∃M. ‖ |
Discussion
A linear operator on a metrizable vector space is bounded if and only if it is continuous.
Reference
Wikipedia: Bounded linear operator
Subset of
Context
