Weak Distances between Random Subproportional Quotients of $ℓ₁^{m}$

• Autorzy: Piotr Mankiewicz
• Języki publikacji: EN

Abstrakty

EN

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 $ℓ₁^{n²}$ is greater than or equal to c√(n/log³n).

Kategorie tematyczne

• 46B20: Geometry and structure of normed linear spaces
• 46B09: Probabilistic methods in Banach space theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2012
• Tom: 60
• Numer: 3
• Strony: 285-294

Daty

wydano

2012

Twórcy

autor

Piotr Mankiewicz

• Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, P.O. Box 21, 00-956 Warszawa 10, Poland

Identyfikatory

DOI

10.4064/ba60-3-8