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Subjects
52-XX Convex and discrete geometry
52Axx General convexity
52A21 Finite-dimensional Banach spaces (including special norms, zonoids, etc.)

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Weak Distances between Random Subproportional Quotients of $ℓ ₁^{m}$

Piotr Mankiewicz (2012)

Bulletin of the Polish Academy of Sciences. Mathematics

Lower estimates for weak distances between finite-dimensional Banach spaces of the same dimension are investigated. It is proved that the weak distance between a random pair of n-dimensional quotients of $ℓ ₁^{n ²}$ is greater than or equal to c√(n/log³n).

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Weak Distances between Random Subproportional Quotients of ℓ ₁ m

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Weak Distances between Random Subproportional Quotients of $ℓ ₁^{m}$