Complex interpolation between Hilbert, Banach and operator spaces

DOI10.1090/S0065-9266-10-00601-0zbMath1213.46002arXiv0802.0476OpenAlexW2963985225MaRDI QIDQ3053916

Gilles Pisier

Publication date: 5 November 2010

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

Full work available at URL: https://arxiv.org/abs/0802.0476

zbMATH Keywords

bounded operatorsSchur multipliersregular operatorscomplex interpolation of families of Banach spacescontractive operatorsultraproducts of Banach spaces\(\theta\)-Hilbertian

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Interpolation between normed linear spaces (46B70) Research exposition (monographs, survey articles) pertaining to functional analysis (46-02) Research exposition (monographs, survey articles) pertaining to operator theory (47-02) Tensor products in functional analysis (46M05) Tensor products of linear operators (47A80)

Related Items (21)

Towards strong Banach property (T) for \(\mathrm{SL}(3,\mathbb R)\) ⋮ On quantitative sphere equivalence and extrapolation phenomenon ⋮ Random groups, random graphs and eigenvalues of \(p\)-Laplacians ⋮ Strong property (T) for higher-rank simple Lie groups: Figure 1. ⋮ Ordered Banach algebras and multi-norms: some open problems ⋮ Superexpanders from group actions on compact manifolds ⋮ Żuk’s criterion for Banach spaces and random groups ⋮ Garland's method with Banach coefficients ⋮ Approximation properties for noncommutative \(L^p\)-spaces of high rank lattices and nonembeddability of expanders ⋮ Rearrangements with supporting trees, isomorphisms and shift operators ⋮ Dilation of Ritt operators on \(L^p\)-spaces ⋮ Comparison of Metric Spectral Gaps ⋮ Nonlinear spectral calculus and super-expanders ⋮ Strong Banach property (T) for simple algebraic groups of higher rank ⋮ Banach space actions and \(L^2\)-spectral gap ⋮ Sphere equivalence, Property H, and Banach expanders ⋮ An average John theorem ⋮ Expanders with respect to Hadamard spaces and random graphs ⋮ On the structure of asymptotic expanders ⋮ Nonpositive curvature is not coarsely universal ⋮ Relative expanders

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