Multiplicative properties of positive maps

Authors

  • Erling Størmer

DOI:

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

Abstract

Let ϕ be a positive unital normal map of a von Neumann algebra M into itself. It is shown that with some faithfulness assumptions on ϕ there exists a largest Jordan subalgebra Cϕ of M such that the restriction of ϕ to Cϕ is a Jordan automorphism and each weak limit point of (ϕn(a)) for aM belongs to Cϕ.

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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

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Section

Articles