REMARKS ON POSITIVE CONES ASSOCIATED WITH A VON NEUMANN ALGEBRA

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概要

• 論文の詳細を見る

• Let M be a von Neumann algebra with a cyclic and separating vector ξ0 and J# (resp. Jb) be the closure of M+ξ0 (resp. M′+ξ0). It is shown that the map: ξ∈J#→ωξ∈M+* is a homeomorphism with respect to the norm topologies. It is also shown that J# can be replaced by Jb if M is finite.

• 東北大学大学院理学研究科数学専攻の論文

著者

• Kosaki Hideki

  Department Of Mathematics College Of General Education Kyushu University

• KOSAKI HIDEKI

  DEPARTMENT OF MATHEMATICS THE UNIVERSITY OF KANSAS LAWRENCE

関連論文

• Inequalities for the Schatten $p$-norm V
• Unitarily Invariant Norms under Which the Map $A\to \vert A\vert $ is Lipschitz Continuous
• Linear Radon-Nikodym Theorems for States on a von Neumann Algebra
• REMARKS ON POSITIVE CONES ASSOCIATED WITH A VON NEUMANN ALGEBRA

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