On the isometries of the Lorentz function spaces

DOI10.1007/BF02761703zbMath0799.46024OpenAlexW2013936566MaRDI QIDQ1310166

Pei-Kee Lin, Richard Haydon, Neal L. Carothers

Publication date: 2 January 1994

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02761703

zbMATH Keywords

isometryLorentz function spacedisjoint support

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)

Related Items (15)

Some geometric properties of Lorentz-Orlicz spaces ⋮ Gâteaux derivatives and their applications to approximation in Lorentz spaces Γ _p,w ⋮ EXTREME POINT METHODS IN THE STUDY OF ISOMETRIES ON CERTAIN NONCOMMUTATIVE SPACES ⋮ The Fourier transform of order statistics with applications to Lorentz spaces ⋮ The best constant approximant operators in Lorentz spaces \(\Gamma _{p,w}\) and their applications ⋮ Non-squareness properties of Orlicz-Lorentz function spaces ⋮ On a generalization of the extended best polynomial approximation operator in Orlicz–Lorentz spaces ⋮ Extended best polynomial approximation operator in Orlicz–Lorentz spaces ⋮ Lebesgue's differentiation theorems in r.i. quasi-Banach spaces and Lorentz spaces \(\Gamma_{p,w}\) ⋮ Some remarks on the geometry of Lorentz spaces ⋮ On some geometric properties of generalized Orlicz-Lorentz function spaces ⋮ Some fundamental geometric and topological properties of generalized Orlicz-Lorentz function spaces ⋮ Rotundity structure of local nature for generalized Orlicz-Lorentz function spaces ⋮ Non-square points of Orlicz-Lorentz function spaces ⋮ Contractive projections and isometries in sequence spaces

Cites Work

• Unnamed Item
• Convex functions, monotone operators and differentiability
• Geometry of Banach spaces. Selected topics
• Isometries on L p,1
• On the geometry of the unit spheres of the Lorentz spaces L_w,1

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