Auerbach's lemma [SEP] named after
Auerbach's lemma
In mathematics, Auerbach's lemma, named after Herman Auerbach, is a theorem in functional analysis which asserts that a certain property of Euclidean spaces holds for general finite-dimensional normed vector spaces.
Statement.
Let ("V", ||·||) be an "n"-dimensional normed vector space. Then there exists a basis {"e", ..., "e"} of V such that
where {"e", ..., "e"} is a basis of "V
Gauss's lemma
Gauss's lemma can mean any of several lemmas named after Carl Friedrich Gauss:
- Gauss's lemma (polynomial)
- Gauss's lemma (number theory)
- Gauss's lemma (Riemannian geometry)
- A generalization of Euclid's lemma is sometimes called Gauss's lemma
See also.
- List of topics named after Carl Friedrich Gauss