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

Equivalent conditions are obtained for weak convergence of iterates of positive contractions in the L1-spaces for general von Neumann algebra and general JBW algebras, as well as for Segal-Dixmier Lp-spaces (1≤p<∞) affiliated to semifinite von Neumann algebras and semifinite JBW algebras without...

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Bibliographic Details
Main Authors: Genady Ya. Grabarnik, Alexander A. Katz, Laura Shwartz
Format: Article
Language:English
Published: Hindawi Limited 2005-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/IJMMS.2005.2307