A Banach subspace of 𝐿_{1/2} which does not embed in 𝐿₁ (isometric version)

DOI10.1090/S0002-9939-96-03010-9zbMath0840.46006arXivmath/9404212MaRDI QIDQ4874315

Alexander L. Koldobsky

Publication date: 19 May 1996

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

Full work available at URL: https://arxiv.org/abs/math/9404212

zbMATH Keywords

isometric to a subspace of \(L_{1/2}\)not isometric to a subspace of \(L_ 1\)

Mathematics Subject Classification ID

Characteristic functions; other transforms (60E10) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Local theory of Banach spaces (46B07) Classical Banach spaces in the general theory (46B25) Isometric theory of Banach spaces (46B04)

Related Items (8)

Positive definite metric spaces ⋮ On strict inclusions in hierarchies of convex bodies ⋮ Isomorphic properties of intersection bodies ⋮ Sections of convex bodies with symmetries ⋮ Intersection bodies that are not polar zonoids: a flat top condition in dimensions four and six ⋮ On Complex L_p affine isoperimetric inequalities ⋮ Intersection bodies and \(L_{p}\)-spaces ⋮ A note on 𝑘-intersection bodies

Cites Work

• Banach spaces embedding into \(L_ 0\)
• The L p Norm of Sums of Translates of a Function
• Common Subspaces of L p -Spaces
• RESONANCE THEOREMS and SUPERLINEAR OPERATORS
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