Notes on real interpolation of operator \(L_p\)-spaces

DOI10.1007/S10473-021-0622-2OpenAlexW3212068592MaRDI QIDQ2154600

Marius Junge, Quanhua Xu

Publication date: 20 July 2022

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.08404

zbMATH Keywords

real interpolationoperator spaces\(L_p\)-spacescolumn Hilbertian spaces

Mathematics Subject Classification ID

Interpolation between normed linear spaces (46B70) Noncommutative function spaces (46L52)

Cites Work

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• Noncommutative Burkholder/Rosenthal inequalities. II: Applications
• Non commutative Khintchine and Paley inequalities
• Interpolation of operator spaces
• Embedding of \(C_q\) and \(R_q\) into noncommutative \(L_p\)-spaces, \(1 \leq p < q \leq 2\)
• Noncommutative maximal ergodic theorems
• La stabilité des espaces $L^p$ non-commutatifs.
• Doobs inequality for non-commutative martingales
• The operator Hilbert space 𝑂𝐻, complex interpolation and tensor norms

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