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
Journal	Indagationes Mathematicae
DOIs	https://doi.org/10.1016/j.indag.2024.12.005
Publication status	Accepted/In press - 2025

Keywords

Jordan isomorphisms
Spectrum preserving mappings
Von Neumann algebras

ASJC Scopus subject areas

General Mathematics

Access to Document

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.",

keywords = "Jordan isomorphisms, Spectrum preserving mappings, Von Neumann algebras",

author = "Martin Mathieu and Francois Schulz",

note = "Publisher Copyright: {\textcopyright} 2025 The Authors",

year = "2025",

doi = "10.1016/j.indag.2024.12.005",

language = "English",

journal = "Indagationes Mathematicae",

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T1 - Additive spectrum preserving mappings fromvon Neumann algebras

AU - Mathieu, Martin

AU - Schulz, Francois

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AB - 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.

KW - Jordan isomorphisms

KW - Spectrum preserving mappings

KW - Von Neumann algebras

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U2 - 10.1016/j.indag.2024.12.005

DO - 10.1016/j.indag.2024.12.005

M3 - Article

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SN - 0019-3577

JO - Indagationes Mathematicae

JF - Indagationes Mathematicae

ER -

Additive spectrum preserving mappings fromvon Neumann algebras

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

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