Embeddings of non-commutative Lp-spaces into non-commutative L1-spaces, 1 < p < 2

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Abstract

It will be shown that for < p < 2 the Schatten p-class is isometrically isomorphic to a subspace of the predual of a von Neumann algebra. Similar results hold for non-commutative Lp(N, τ)-spaces defined by a finite trace on a finite von Neumann algebra. The embeddings rely on a suitable notion of p-stable processes in the non-commutative setting.

Original languageEnglish (US)
Pages (from-to)389-406
Number of pages18
JournalGeometric and Functional Analysis
Volume10
Issue number2
DOIs
StatePublished - 2000
Externally publishedYes

ASJC Scopus subject areas

  • Analysis
  • Geometry and Topology

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