Title of article :
Linear Maps Preservinginvertibility or Spectral Radius on Some C*-algebras
Author/Authors :
Golfarshchi ، Fatemeh - Tabriz Islamic Art University , Khalilzadeh ، Ali Asghar - Sahand University of Technology
Abstract :
Let A be a unital C* -algebra which has a faithful state. If φ : A → A is a unital linear map which is bijective and invertibility preserving or surjective and spectral radius preserving, then φ is a Jordan isomorphism. Also, we discuss other types of linear preserver maps on A.
Keywords :
C* , algebra , Hilbert C* , module , Invertibility preserving , Spectral radius preserving , Jordan isomorphism
Journal title :
Sahand Communications in Mathematical Analysis
Journal title :
Sahand Communications in Mathematical Analysis
