On the geometry of the unit spheres of the Lorentz spaces Lw,1

DOI10.1017/S0017089500008508zbMath0755.46009OpenAlexW2060760334MaRDI QIDQ3990856

Neal L. Carothers, Stephen Dilworth, David A. Trautman

Publication date: 28 June 1992

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089500008508

zbMATH Keywords

Lorentz spacedecreasing rearrangementbarycenter of a unique Borel probability measure supported on the extreme points of the unit sphere

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)

Related Items (7)

EXTREME POINT METHODS IN THE STUDY OF ISOMETRIES ON CERTAIN NONCOMMUTATIVE SPACES ⋮ The Fourier transform of order statistics with applications to Lorentz spaces ⋮ Non-squareness properties of Orlicz-Lorentz function spaces ⋮ Some remarks on the geometry of Lorentz spaces ⋮ On some geometric properties of generalized Orlicz-Lorentz function spaces ⋮ Rotundity structure of local nature for generalized Orlicz-Lorentz function spaces ⋮ On the isometries of the Lorentz function spaces

Cites Work

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• Isometries on L p,1

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