Estimates on inner and outer radii of unit balls in normed spaces

• Autorzy: Horst Martini , Zokhrab Mustafaev
• Języki publikacji: EN

Abstrakty

EN

The purpose of this paper is to continue the investigations on extremal values for inner and outer radii of the unit ball of a finite-dimensional real Banach space for the Holmes-Thompson and Busemann measures. Furthermore, we give a related new characterization of ellipsoids in $ℝ^{d}$ via codimensional cross-section measures.

Kategorie tematyczne

• 46B20: Geometry and structure of normed linear spaces
• 52A40: Inequalities and extremum problems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2011
• Tom: 123
• Numer: 2
• Strony: 211-217

Daty

wydano

2011

Twórcy

autor

Horst Martini

• Faculty of Mathematics, University of Technology Chemnitz, 09107 Chemnitz, Germany

autor

Zokhrab Mustafaev

• Department of Mathematics, University of Houston-Clear Lake, Houston, TX 77058, U.S.A.

Identyfikatory

DOI

10.4064/cm123-2-5