Additive spectrum preserving mappings fromvon Neumann algebras

Martin Mathieu; Francois Schulz

doi:10.1016/j.indag.2024.12.005

Additive spectrum preserving mappings fromvon Neumann algebras

Martin Mathieu
, Francois Schulz

Mathematics and Applied Mathematics

Queen's University Belfast

Research output: Contribution to journal › Article › peer-review

Abstract

We establish Jafarian's 2009 conjecture that every additive spectrum preserving mapping from a von Neumann algebra onto a semisimple Banach algebra is a Jordan isomorphism.

Original language	English
Pages (from-to)	1112-1123
Number of pages	12
Journal	Indagationes Mathematicae
Volume	36
Issue number	4
DOIs	https://doi.org/10.1016/j.indag.2024.12.005
Publication status	Published - Jul 2025

Keywords

Jordan isomorphisms
Spectrum preserving mappings
Von Neumann algebras

ASJC Scopus subject areas

General Mathematics

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10.1016/j.indag.2024.12.005

Cite this

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title = "Additive spectrum preserving mappings fromvon Neumann algebras",

abstract = "We establish Jafarian's 2009 conjecture that every additive spectrum preserving mapping from a von Neumann algebra onto a semisimple Banach algebra is a Jordan isomorphism.",

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author = "Martin Mathieu and Francois Schulz",

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language = "English",

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AU - Schulz, Francois

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KW - Jordan isomorphisms

KW - Spectrum preserving mappings

KW - Von Neumann algebras

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DO - 10.1016/j.indag.2024.12.005

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Additive spectrum preserving mappings fromvon Neumann algebras

Abstract

Keywords

ASJC Scopus subject areas

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