A Note on Spectrum Preserving Additive Maps on C*-Algebras
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Abstract:
Mathieu and Ruddy proved that if be a unital spectral isometry from a unital C*-algebra Aonto a unital type I C*-algebra B whose primitive ideal space is Hausdorff and totallydisconnected, then is Jordan isomorphism. The aim of this note is to show that if be asurjective spectrum preserving additive map, then is a Jordan isomorphism without the extraassumption totally disconnected.
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Journal title
volume 2 issue شماره 6
pages 5- 9
publication date 2016-06-21
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