Embeddings of non-commutative \(L_p\)-spaces into non-commutative \(L_1\)-spaces, \(1

DOI10.1007/s000390050012zbMath0958.46033OpenAlexW2071394611MaRDI QIDQ1578270

Marius Junge

Publication date: 10 April 2001

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s000390050012

zbMATH Keywords

Schatten \(p\)-classhyperfinite factorfinite factorisomorphic embeddingsnon-commutative \(L_p\)-spaces\(p\)-stable processeshyperfinite \(\Pi_1\)-factor

Mathematics Subject Classification ID

Probabilistic methods in Banach space theory (46B09) Noncommutative function spaces (46L52)

Related Items (8)

A noncommutative Gretsky–Ostroy theorem and its applications ⋮ On subspaces of non-commutative \(L_{p}\)-spaces. ⋮ Enhanced negative type for finite metric trees ⋮ Embeddings of non-commutative \(L^p\)-spaces into preduals of finite von Neumann algebras ⋮ Isometric embeddability of \(S_q^m\) into \(S_p^n\) ⋮ Strict \(p\)-negative type of a metric space ⋮ Embedding of \(C_q\) and \(R_q\) into noncommutative \(L_p\)-spaces, \(1 \leq p < q \leq 2\) ⋮ The norm of sums of independent noncommutative random variables in \(L_{p}(\ell_1)\)

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