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Results tagged with banach-spaces
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user 29928
A Banach space is a complete normed vector space: A vector space equipped with a norm such that every Cauchy sequence converges.
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Accepted
Banach Mazur distance between the cube and the cross-polytope in the dimensions for which a ...
As pointed in comment by Bill Johnson, this equality is (trivially) disproved for $n=2$, since in that case $M B^1=B^\infty$ and thus the distance is $1$.
Less trivially, it also fails for $n=8$, in w …
- 183
3
votes
1
answer
177
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Banach Mazur distance between the cube and the cross-polytope in the dimensions for which a ...
The Banach-Mazur distance between two centrally symmetric convex bodies $K,L\in\mathbb{R}^n$ can be defined as
$$ d(K,L) = \inf \{ r : \exists T\colon \mathbb{R}^n \to \mathbb{R}^n \text{ linear such …
- 183