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 affiliated to semifinite von Neumann algebras and semifinite JBW-algebras without direct summands of type I2.

By: Genady Ya. Grabarnik; Alexander A. Katz; Laura Shwartz

Published in: RC23568 in 2005


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