Rellich selection theorem
Let D be an open subset of ℝn. If, for a sequence of functions fi:D→ℝ, i=1,2,… there exists a constant B>0 such that
(∀i) |
and
then there exists a subsequence which is convergent in the norm.
Title | Rellich selection theorem |
---|---|
Canonical name | RellichSelectionTheorem |
Date of creation | 2013-03-22 14:38:55 |
Last modified on | 2013-03-22 14:38:55 |
Owner | rspuzio (6075) |
Last modified by | rspuzio (6075) |
Numerical id | 7 |
Author | rspuzio (6075) |
Entry type | Theorem |
Classification | msc 46C05 |