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Tingley's problem on finite von Neumann algebras

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Abstract In this paper, we give an affirmative answer to Tingley's problem between finite von Neumann algebras. To do this, we see that every norm closed proper face of the… Click to show full abstract

Abstract In this paper, we give an affirmative answer to Tingley's problem between finite von Neumann algebras. To do this, we see that every norm closed proper face of the unit ball of a unital C ⁎ -algebra can be represented as the intersection of a family of maximal proper faces.

Keywords: tingley problem; neumann algebras; problem finite; finite von; von neumann

Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2017

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