Journal of Operator Theory

Volume 33, Issue 2, Spring 1995 pp. 371-379.

Finite measures on preduals and non-commutative L^p-isometries

Authors: Keiichi Watanabe
Author institution:Department of Mathematics, Faculty of Science, Niigata University, Niigata 950-21, JAPAN

Summary: We prove a linear extension theorem for continuous finite measures on preduals of von Neumann algebras. Making use of it, we determine the structure of surjective positive linear isometries between non-commutative L^p-spaces associated with arbitrary von Neumann algebras.

Keywords: von Neumann algebra, non-commutative L^p-spaces.

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