Volume formulas in \(L_p\)-spaces

DOI10.1023/A:1009731300757zbMath0911.46010OpenAlexW10775230MaRDI QIDQ1380677

Marius Junge, Yehoram Gordon

Publication date: 11 March 1998

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1009731300757

zbMATH Keywords

ellipsoids\(L_p\) spacesoperator normsvolume formulazonoidsideal norms\(p\)-sums of segmentsLewis mapsvolume ratios

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Geometry and structure of normed linear spaces (46B20) Classical Banach spaces in the general theory (46B25) Linear operators on function spaces (general) (47B38) Positive linear operators and order-bounded operators (47B65) Ordered topological linear spaces, vector lattices (46A40)

Related Items (8)

The shattering dimension of sets of linear functionals. ⋮ Successive radii and Orlicz Minkowski sum ⋮ On the volume of the Minkowski sum of zonoids ⋮ Small-ball probabilities for the volume of random convex sets ⋮ On the geometry of random convex sets between polytopes and zonotopes ⋮ Geometric and probabilistic analysis of convex bodies with unconditional structures, and associated spaces of operators ⋮ A convex body associated to the Busemann random simplex inequality and the Petty conjecture ⋮ Geometry of spaces between polytopes and related zonotopes

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