Spectrum Preserving Linear Map on Liminal \(C^*\)-algebras
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Authors
F. Golfarshchi
- Department of Mathematics, Sahand University of Technology, Tabriz-Iran.
A. A. Khalilzadeh
- Department of Mathematics, Sahand University of Technology, Tabriz-Iran.
Abstract
Let \(A\) and \(B\) be unital semi-simple Banach algebras. If \(B\) is a liminal \(C^*\)-algebra and \(\varphi\) is a surjective
spectrum preserving linear mapping from \(A\) to \(B\), then \(\varphi\) is a Jordan homomorphism.
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ISRP Style
F. Golfarshchi, A. A. Khalilzadeh, Spectrum Preserving Linear Map on Liminal \(C^*\)-algebras, Journal of Mathematics and Computer Science, 6 (2013), no. 4, 311 - 314
AMA Style
Golfarshchi F., Khalilzadeh A. A., Spectrum Preserving Linear Map on Liminal \(C^*\)-algebras. J Math Comput SCI-JM. (2013); 6(4):311 - 314
Chicago/Turabian Style
Golfarshchi, F., Khalilzadeh, A. A.. "Spectrum Preserving Linear Map on Liminal \(C^*\)-algebras." Journal of Mathematics and Computer Science, 6, no. 4 (2013): 311 - 314
Keywords
- Semi-simple
- liminal \(C^*\)-algebra
- Spectrum preserving
- Jordan homomorphism.
MSC
References
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