Multiplicative properties of positive maps

Authors

  • Erling Størmer

DOI:

https://doi.org/10.7146/math.scand.a-15020

Abstract

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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Published

2007-03-01

How to Cite

Størmer, E. (2007). Multiplicative properties of positive maps. MATHEMATICA SCANDINAVICA, 100(1), 184–192. https://doi.org/10.7146/math.scand.a-15020

Issue

Section

Articles