A classification for 2-isometries of noncommutative \(L_p\)-spaces

DOI10.1007/BF02762384zbMath1354.46058arXivmath/0402181MaRDI QIDQ2382262

Zhong-Jin Ruan, Marius Junge, David J. Sherman

Publication date: 28 September 2007

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0402181

Mathematics Subject Classification ID

Operator spaces and completely bounded maps (46L07) Noncommutative measure and integration (46L51) Isometric theory of Banach spaces (46B04) Noncommutative function spaces (46L52)

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Multivariate trace inequalities, p-fidelity, and universal recovery beyond tracial settings ⋮ On factorization of separating maps on noncommutative L^p-spaces ⋮ Dilations and rigid factorisations on noncommutative \(L^{p}\)-spaces ⋮ Local rigidity for actions of Kazhdan groups on noncommutative L_p-spaces ⋮ Quantitative mean ergodic inequalities: power bounded operators acting on one single noncommutative \(L_p\) space ⋮ Maximal ergodic inequalities for some positive operators on noncommutative Lp$L_p$‐spaces ⋮ Separating Fourier and Schur multipliers ⋮ On isometric embedding ℓpm→S∞ and unique operator space structure ⋮ Isometric embeddability of \(S_q^m\) into \(S_p^n\) ⋮ Fixed point property for universal lattice on Schatten classes ⋮ Homomorphisms with small bound between Fourier algebras ⋮ Noncommutative \(L^p\) structure encodes exactly Jordan structure ⋮ On the structure of isometries between noncommutative \(L^p\) spaces ⋮ Completely 1-complemented subspaces of Schatten spaces ⋮ Logarithmic submajorisation and order-preserving linear isometries ⋮ Kazhdan’s property $(T)$ with respect to non-commutative $L_{p}$-spaces

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