Minimal Volume-Product in Banach Spaces with a 1-Unconditional Basis

DOI10.1112/jlms/s2-36.1.126zbMath0598.46010OpenAlexW2021923499MaRDI QIDQ3732318

Shlomo Reisner

Publication date: 1987

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/s2-36.1.126

zbMATH Keywords

3,2-intersection propertynormalized 1-unconditional basis

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (22)

Geometric inequalities for anti-blocking bodies ⋮ The number of faces of centrally-symmetric polytopes ⋮ On the Blaschke-Santaló inequality ⋮ Minimal volume product of three dimensional convex bodies with various discrete symmetries ⋮ A remark on the Mahler conjecture: local minimality of the unit cube ⋮ Unconditional reflexive polytopes ⋮ Stability of the Blaschke-Santaló and the affine isoperimetric inequality ⋮ Geometry and volume product of finite dimensional Lipschitz-free spaces ⋮ Minimal volume product near Hanner polytopes ⋮ Some functional inverse Santaló inequalities ⋮ Invariant Valuations on Super-Coercive Convex Functions ⋮ Increasing functions and inverse Santaló inequality for unconditional functions ⋮ Stability of the reverse Blaschke-Santaló inequality for zonoids and applications ⋮ Stability of the reverse Blaschke-Santaló inequality for unconditional convex bodies ⋮ Convex bodies with minimal volume product in \(\mathbb{R}^2\) -- a new proof ⋮ An application of shadow systems to Mahler's conjecture ⋮ The case of equality for an inverse Santaló functional inequality ⋮ LOCAL MINIMALITY OF THE VOLUME‐PRODUCT AT THE SIMPLEX ⋮ From symplectic measurements to the Mahler conjecture ⋮ A special case of Mahler's conjecture ⋮ Polytopes of maximal volume product ⋮ Shadow Systems and Volumes of Polar Convex Bodies

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