Theorem
Every bounded linear transformation from a normed vector space to a complete, normed vector space can be uniquely extended to a bounded linear transformation from the completion of to . In addition, the operator norm of is iff the norm of is .
This theorem is sometimes called the B L T theorem, where B L T stands for bounded linear transformation.
Read more about this topic: Continuous Linear Extension
Famous quotes containing the word theorem:
“To insure the adoration of a theorem for any length of time, faith is not enough, a police force is needed as well.”
—Albert Camus (1913–1960)