Singular twisted sums generated by complex interpolation

DOI10.1090/tran/6809zbMath1427.46050arXiv1410.5505OpenAlexW2964096250MaRDI QIDQ2975767

Valentin Ferenczi, González, Manuel, Jesús M. Fernandez Castillo

Publication date: 12 April 2017

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

Full work available at URL: https://arxiv.org/abs/1410.5505

zbMATH Keywords

interpolation spacetwisted sum

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) Interpolation between normed linear spaces (46B70) Homological methods in functional analysis (exact sequences, right inverses, lifting, etc.) (46M18)

Related Items (20)

The Kalton-Peck space is the complexification of the real Kalton-Peck space ⋮ Three-representation problem in Banach spaces ⋮ Derivation of vector-valued complex interpolation scales ⋮ Type, cotype and twisted sums induced by complex interpolation ⋮ Complex structures on twisted Hilbert spaces ⋮ Higher order derivatives of analytic families of Banach spaces ⋮ When Kalton and Peck met Fourier ⋮ On twisted sums of Schreier spaces ⋮ On symplectic Banach spaces ⋮ A WEAK HILBERT SPACE THAT IS A TWISTED HILBERT SPACE ⋮ The Rochberg garden ⋮ Group actions on twisted sums of Banach spaces ⋮ Interpolator symmetries and new Kalton-Peck spaces ⋮ The isomorphic Kottman constant of a Banach space ⋮ On disjointly singular centralizers ⋮ Differential processes generated by two interpolators ⋮ Twisting operator spaces ⋮ The Butterfly lemma ⋮ A space with no unconditional basis that satisfies the Johnson-Lindenstrauss lemma ⋮ ON THE STABILITY OF THE DIFFERENTIAL PROCESS GENERATED BY COMPLEX INTERPOLATION

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