Cotype of operators from \(C(K)\)

DOI10.1007/BF01231879zbMath0788.47022OpenAlexW2088365357MaRDI QIDQ1187476

Michel Talagrand

Publication date: 22 July 1992

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143955

zbMATH Keywords

Banach latticeOrlicz propertyrearrangement invariant spaceLorentz spacecotype \(q\)lattice operatorBanach lattice with the Orlicz property

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Classical Banach spaces in the general theory (46B25) Linear operators on function spaces (general) (47B38) Positive linear operators and order-bounded operators (47B65) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items

Orlicz property and cotype in symmetric sequence spaces ⋮ Cotype and complemented copies of $c_0$ in spaces of operators ⋮ Cotype and \((q,1)\)-summing norm in a Banach space ⋮ Constructions of majorizing measures, Bernoulli processes and cotype ⋮ Coincidence Results for Summing Multilinear Mappings ⋮ Sharp coincidences for absolutely summing multilinear operators ⋮ Unconditional convergence of functional series in problems of probability theory ⋮ Summability of multilinear mappings: Littlewood, Orlicz and beyond ⋮ Complemented copies of ℓp spaces in tensor products ⋮ Absolutely \((q, 1)\)-summing operators acting in \(C(K)\)-spaces and the weighted Orlicz property for Banach spaces ⋮ (\(p\),\(q\))-summing sequences

Cites Work

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• Regularity of Gaussian processes
• The Gaussian cotype of operators from \(C(K)\)
• Factorization of operators through \(L_{p\infty}\) or \(L_{p1}\) and non- commutative generalizations
• An Isoperimetric Theorem on the Cube and the Kintchine-Kahane Inequalities