On weak convergence of iterates in quantum L p -spaces ( p ≥ 1 )

Genady Ya. Grabarnik, Alexander A. Katz and Laura Shwartz

International Journal of Mathematics and Mathematical Sciences, 2005, vol. 2005, 1-13

Abstract:

Equivalent conditions are obtained for weak convergence of iterates of positive contractions in the L 1 -spaces for general von Neumann algebra and general JBW algebras, as well as for Segal-Dixmier L p -spaces ( 1 ≤ p < ∞ ) affiliated to semifinite von Neumann algebras and semifinite JBW algebras without direct summands of type I 2 .

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:730204

DOI: 10.1155/IJMMS.2005.2307

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