weak limit point
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2007 ◽  
Vol 100 (1) ◽  
pp. 184 ◽  
Author(s):  
Erling Størmer

Let $\phi$ be a positive unital normal map of a von Neumann algebra $M$ into itself. It is shown that with some faithfulness assumptions on $\phi$ there exists a largest Jordan subalgebra $C_{\phi}$ of $M$ such that the restriction of $\phi$ to $C_{\phi}$ is a Jordan automorphism and each weak limit point of $(\phi^n (a))$ for $a\in M$ belongs to $C_{\phi}$.


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