Extremal sections of complex $l_{p}$-balls, 0 < p ≤ 2

• Autorzy: Alexander Koldobsky , Marisa Zymonopoulou
• Języki publikacji: EN

Abstrakty

EN

We study the extremal volume of central hyperplane sections of complex n-dimensional $l_{p}$-balls with 0 < p ≤ 2. We show that the minimum corresponds to hyperplanes orthogonal to vectors ξ = (ξ¹,...,ξⁿ) ∈ ℂⁿ with |ξ¹| = ... = |ξⁿ|, and the maximum corresponds to hyperplanes orthogonal to vectors with only one non-zero coordinate.

Kategorie tematyczne

• 52A21: Finite-dimensional Banach spaces (including special norms, zonoids, etc.)
• 46B07: Local theory of Banach spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2003
• Tom: 159
• Numer: 2
• Strony: 185-194

Daty

wydano

2003

Twórcy

autor

Alexander Koldobsky

• Department of Mathematics, University of Missouri-Columbia, Columbia, MO 65211, U.S.A.

autor

Marisa Zymonopoulou

• Department of Mathematics, University of Missouri-Columbia, Columbia MO 65211, U.S.A.

Identyfikatory

DOI

10.4064/sm159-2-2