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arXiv · 1709.08529

On the extension of isometries between the unit spheres of von Neumann algebras

Antonio M. Peralta·Francisco J. Fernández-Polo
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Abstract

We prove that every surjective isometry between the unit spheres of two von Neumann algebras admits a unique extension to a surjective real linear isometry between these two algebras.

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Antonio M. Peralta, Francisco J. Fernández-Polo. 2017-09-25. On the extension of isometries between the unit spheres of von Neumann algebras. https://arxiv.org/abs/1709.08529

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