Journal of Operator Theory

Volume 68, Issue 1, Summer 2012 pp. 67-83.

Non-commutative $L_p$-spaces associated with a Maharam trace

Authors: Vladimir Chilin (1) and Botir Zakirov (2)
Author institution: (1) Department of Mathematics, National University of Uzbekistan, Tashkent, 100174, Uzbekistan
(2) Tashkent Railway Engineering Institute, Tashkent, 100167, Uzbekistan

Summary: Non-commutative $L_p$-spaces $L^p(M,\Phi)$ associated with the Maharam trace are defined and their dual spaces are described.

Keywords: von Neumann algebra, measurable operator, Dedekind complete Riesz space, integration with respect to a vector-valued trace

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