Positive linear maps on Hilbert space operators and noncommutative L-p spaces

Affiliation auteursAffiliation ok
TitrePositive linear maps on Hilbert space operators and noncommutative L-p spaces
Type de publicationJournal Article
Year of Publication2021
AuteursBourin J-C, Shao J
JournalACTA SCIENTIARUM MATHEMATICARUM
Volume87
Pagination195-206
Type of ArticleArticle
ISSN0001-6969
Mots-clésoperator inequalities, Positive linear maps, tau-measurable operators
Résumé

We extend some inequalities for normal matrices and positive linear maps related to the Russo-Dye theorem. The results cover the case of some positive linear maps Phi on a von Neumann algebra M such that Phi(X) is unbounded for all nonzero X is an element of M.

DOI10.14232/actasm-020-671-1