Isometries on L p,1

DOI10.2307/2000458zbMath0627.46028OpenAlexW2033220336MaRDI QIDQ3763076

Neal L. Carothers, Barry Turett

Publication date: 1986

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

Full work available at URL: https://doi.org/10.2307/2000458

zbMATH Keywords

linear isometriesextreme points of the sphere of the Lorentz function space

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) Convex sets in topological linear spaces; Choquet theory (46A55)

Related Items (6)

On the geometry of the unit spheres of the Lorentz spaces L_w,1 ⋮ The Fourier transform of order statistics with applications to Lorentz spaces ⋮ Surjective isometries of \(L^ 1 \cap L^ \infty [0, \infty )\) and \(L^ 1 + L^ \infty [0, \infty )\) ⋮ Order-bounded operators in vector lattices and in spaces of measurable functions ⋮ On the isometries of the Lorentz function spaces ⋮ Dual lower bounds for approximate degree and Markov-Bernstein inequalities

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