There is no strictly singular centralizer on 𝐿_{𝑝}

DOI10.1090/S0002-9939-2013-11851-4zbMath1287.47021MaRDI QIDQ5401676

Félix Cabello Sánchez

Publication date: 11 March 2014

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

Full work available at URL: http://www.ams.org/journals/proc/2014-142-03/S0002-9939-2013-11851-4

zbMATH Keywords

Rademacher functionsstrictly singular operator\(q\)-stable random variablequasilinear centralizer

Mathematics Subject Classification ID

Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Homological methods in functional analysis (exact sequences, right inverses, lifting, etc.) (46M18)

Related Items (9)

Factorization in Lorentz spaces, with an application to centralizers ⋮ Type, cotype and twisted sums induced by complex interpolation ⋮ Complex structures on twisted Hilbert spaces ⋮ On twisted sums of Schreier spaces ⋮ The Rochberg garden ⋮ Group actions on twisted sums of Banach spaces ⋮ On disjointly singular centralizers ⋮ Singular twisted sums generated by complex interpolation ⋮ Centralizers on a super-reflexive Schatten ideal

Cites Work

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• On strictly singular nonlinear centralizers
• Derivatives of analytic families of Banach spaces
• The Kalton centralizer on 𝐿_{𝑝}[0,1 is not strictly singular]
• Nonlinear commutators in interpolation theory
• Symmetric structures in Banach spaces
• Twisted Sums of Sequence Spaces and the Three Space Problem
• Differentials of Complex Interpolation Processes for Kothe Function Spaces
• Orbits of L 1 -Functions Under Doubly Stochastic Transformation

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