Surjective separating maps on noncommutative L-p-spaces

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TitreSurjective separating maps on noncommutative L-p-spaces
Type de publicationJournal Article
Year of Publication2022
AuteursLe Merdy C, Zadeh S
JournalMATHEMATISCHE NACHRICHTEN
Volume295
Pagination175-188
Date PublishedJAN
Type of ArticleArticle
ISSN0025-584X
Mots-clésNoncommutative L-p-spaces, operator spaces, separating maps, von Neumann algebras
Résumé

{Let 1 <= p < infinity and let T : L-p(M) -> L-p (N) be a bounded map between non-commutative L-p-spaces. If T is bijective and separating, we prove the existence of decompositions M = M1 circle plus(infinity) M-2

DOI10.1002/mana.202000461