Banach limit in convexity and geometric means for convex bodies

DOI10.3934/era.2016.23.005zbMath1405.52002OpenAlexW2550439699MaRDI QIDQ1757277

Liran Rotem

Publication date: 3 January 2019

Published in: Electronic Research Announcements in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/era.2016.23.005

zbMATH Keywords

geometric meanconvex bodiesBanach limit

Mathematics Subject Classification ID

Theorems of Hahn-Banach type; extension and lifting of functionals and operators (46A22) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (5)

Powers and logarithms of convex bodies ⋮ “Irrational” constructions in Convex Geometry ⋮ Geometry of Banach limits and their applications ⋮ Weighted geometric means of convex bodies ⋮ The main classes of invariant Banach limits

Cites Work

• The concept of duality for measure projections of convex bodies
• A characterization of the duality mapping for convex bodies
• The endomorphisms of the lattice of norms in finite dimensions
• Non-standard constructions in convex geometry: geometric means of convex bodies with an appendix by Alexander Magazinov
• Algebraically inspired results on convex functions and bodies
• Continued fractions built from convex sets and convex functions
• The Geometric Mean, Matrices, Metrics, and More
• Convex Bodies The Brunn-MinkowskiTheory
• Unnamed Item

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