International Journal of Mathematics and Mathematical Sciences (Jan 2005)
On weak convergence of iterates in quantum Lp-spaces (p≥1)
Abstract
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 direct summands of type I2.
