Finite representability of $ℓ_{p}$-spaces in symmetric spaces

DOI10.1090/S1061-0022-2012-01196-9zbMath1245.46021OpenAlexW2028284594MaRDI QIDQ5389607

Serguei V. Astashkin

Publication date: 22 April 2012

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1061-0022-2012-01196-9

zbMATH Keywords

symmetric spacesspectrumLorentz spaceweighted spacesBoyd indicesfinite representability of \(\ell_p\)-spaces

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) Local theory of Banach spaces (46B07)

Related Items (5)

A characterization of \(\ell^p\)-spaces symmetrically finitely represented in symmetric sequence spaces ⋮ Symmetric finite representability of \(\ell^p\)-spaces in rearrangement invariant spaces on \((0,\infty)\) ⋮ SYMMETRIC FINITE REPRESENTABILITY OF ℓp IN ORLICZ SPACES ⋮ Spectral properties of the dilation operator in rearrangement invariant spaces of fundamental type ⋮ On lattice properties of the Lorentz spaces \(L_{p,q}\)

Cites Work

• Krivine's theorem and the indices of a Banach lattice
• Asymptotic theory of finite dimensional normed spaces. With an appendix by M. Gromov: Isoperimetric inequalities in Riemannian manifolds
• Sous-espaces de dimension finie des espaces de Banach reticules
• On a theorem of J. L. Krivine concerning block finite representability of \(\ell^p\) general Banach spaces
• Séries de variables aléatoires vectorielles indépendantes et propriétés géométriques des espaces de Banach
• Calderón couples of rearrangement invariant spaces
• Real method of interpolation on subcouples of codimension one
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