Spectrum Preserving Linear Map on Liminal \(C^*\)-algebras


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.


Share and Cite

  • Share on Facebook
  • Share on Twitter
  • Share on LinkedIn
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


MSC


References