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Composition operators on non-commutative \(L_p\)-spaces

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Publication:1970306
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zbMath0974.46050MaRDI QIDQ1970306

Louis E. Labuschagne

Publication date: 12 December 2001

Published in: Expositiones Mathematicae (Search for Journal in Brave)


zbMATH Keywords

semifinite von Neumann algebrafaithful normal semifinite tracenon-commutative \(L_p\)-spacesJordan \(*\)-morphismsprojection-preserving linear operators


Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) Linear operators on function spaces (general) (47B38) Linear composition operators (47B33) Noncommutative function spaces (46L52) Abstract differentiation theory, differentiation of set functions (28A15)


Related Items (6)

Logmodularity and isometries of operator algebras ⋮ Maps on noncommutative Orlicz spaces ⋮ Ueda’s peak set theorem for general von Neumann algebras ⋮ Extension of projection mappings ⋮ On applications of Orlicz spaces to statistical physics ⋮ Pure state transformations induced by linear operators






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