Journal of Operator Theory

Volume 49, Issue 2, Spring 2003 pp. 285-293.

Spectrally bounded operators from von Neumann algebras

Authors: Martin Mathieu (1) and Gerhard J. Schick (2)
Author institution: (1) Department of Pure Mathematics, Queen's University Belfast, Belfast BT7 1NN, Northern Ireland, UK
(2) Department of Pure Mathematics, Queen's University Belfast, Belfast BT7 1NN, Northern Ireland, UK

Summary: We prove that every unital spectrally bounded operator from a properly infinite von Neumann algebra onto a semisimple Banach algebra is a Jordan homomorphism.

Keywords: Spectrally bounded operator, Jordan homomorphism, von Neumann algebras

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