Isometries of non-commutative Lorentz spaces

DOI10.1007/BF01160954zbMath0646.46060MaRDI QIDQ1103831

Vladimir I. Chilin, Pheodor A. Sukochev, Arthur M. Medzhitov

Publication date: 1989

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174024

zbMATH Keywords

rearrangementfinite von Neumann algebracharacterization of all linear isometries of non-commutative Lorentz spacesfaithful normal finite tracepositive linear isometry of a symmetric space onto a fully symmetric space

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51)

Related Items (12)

EXTREME POINT METHODS IN THE STUDY OF ISOMETRIES ON CERTAIN NONCOMMUTATIVE SPACES ⋮ Isometries of symmetric operator spaces associated with AFD factors of type II and symmetric vector-valued spaces ⋮ SOME ASPECTS OF THE THEORY OF SYMMETRIC OPERATOR SPACES ⋮ Isometries between non-commutative symmetric spaces associated with semi-finite von Neumann algebras ⋮ Non-isomorphism of 𝐿_{𝑝}-spaces associated with finite and infinite von Neumann algebras ⋮ Noncommutative weighted individual ergodic theorems with continuous time ⋮ Isometries on noncommutative symmetric spaces ⋮ Positive linear isometries in symmetric operator spaces ⋮ Block projection operators in normed solid spaces of measurable operators ⋮ Logarithmic submajorisation and order-preserving linear isometries ⋮ Единственность симметричной структуры в идеалах компактных операторов ⋮ 2-локальные изометрии некоммутативных пространств Лоренца

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