Quantum expanders and geometry of operator spaces

DOI10.4171/JEMS/458zbMath1307.46045arXiv1209.2059OpenAlexW2963433277MaRDI QIDQ2510744

Gilles Pisier

Publication date: 4 August 2014

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.2059

zbMATH Keywords

completely bounded mapoperator spacesmooth pointoperational Hilbert spacequantum expander

Mathematics Subject Classification ID

Operator spaces and completely bounded maps (46L07) Operator spaces (= matricially normed spaces) (47L25) Probabilistic methods in Banach space theory (46B09) Embeddings of discrete metric spaces into Banach spaces; applications in topology and computer science (46B85)

Related Items (9)

\({\ast}\)-freeness in finite tensor products ⋮ Malnormal matrices ⋮ Asymptotic dimension and coarse embeddings in the quantum setting ⋮ Connections between graphs and matrix spaces ⋮ Random matrices and subexponential operator spaces ⋮ Quantum expanders and growth of group representations ⋮ A CONTINUUM OF C*-NORMS ON (H) ⊗ (H) AND RELATED TENSOR PRODUCTS ⋮ Correlation length in random MPS and PEPS ⋮ Eigenvalues of random lifts and polynomials of random permutation matrices

Cites Work

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