Representation of \(L_ p\)-norms and isometric embedding in \(L_ p\)- spaces

DOI10.1007/BF02761158zbMath0599.46047MaRDI QIDQ1080116

Abraham Neyman

Publication date: 1984

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

zbMATH Keywords

positive linear functionals\(L_ p\)-semi-normsnorm inequalities that characterizes linear isometric embeddabilityspace of all homogeneous polynomials

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) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Norms (inequalities, more than one norm, etc.) of linear operators (47A30)

Related Items (13)

On a question of Pietsch ⋮ On zonoids whose polars are zonoids ⋮ Derivatives of the \(L^p\)-cosine transform. ⋮ On strict inclusions in hierarchies of convex bodies ⋮ Polynomials and identities on real Banach spaces ⋮ Convolution Equations in Certain Banach Spaces ⋮ Hlawka's functional inequality ⋮ Operator ideal norms on $L^p$ ⋮ Plane sections of the unit ball of \(L^ p\) ⋮ Averaging distances in real quasihypermetric Banach spaces of finite dimension ⋮ 𝐿_{𝑝}-Blaschke valuations ⋮ Non-intersection bodies, all of whose central sections are intersection bodies ⋮ The \(L_p\) Loomis-Whitney inequality

Cites Work

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• Zonoide und verwandte Klassen konvexer Körper
• Banach spaces which satisfy linear identities
• Banach spaces with polynomial norms
• Measures whose range is a ball
• A support characterization of zonotopes
• The range of a measure
• Norm characterization of real $L^p$ spaces
• A Class of Convex Bodies

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