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

2017/09/25 by Antonio M. Peralta, Peralta, Antonio M., Francisco J. Fernández-Polo +1 · 1 citation
Mathematics · #Advanced Banach Space Theory #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.1709.08529

openalex publication_date 2017/09/25 · openalex created_date 2022/10/02 · openalex updated_date 2026/07/28

Abstract

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

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