Title of article :
Maps Preserving Product A∗B + B∗A on C∗-Algebras
Author/Authors :
Taghavi ، Ali Department of Mathematics - Faculty of Mathematical Sciences - University of Mazandaran , Gholampoor ، Saeed Department of Mathematics - Faculty of Mathematical Sciences - University of Mazandaran
Abstract :
Let A and B be two unital C∗-algebras. It is shown that if a surjectivemap ϕ : A → B satisfies: ϕ (A∗B + B∗A / 2 ) = ϕ (A) ∗ ϕ (B) + ϕ (B) ∗ ϕ (A) / 2 for every A, B ∈ A, and if ϕ is injective or ϕ (−I ) = −I , then ϕ is the direct sum of two ∗-homomorphisms, one of which is C-linear and the other is conjugate C-linear.
Keywords :
Absolute value , C∗ , algebra , C , linear , Conjugate C , linear , Homomorphism , Linear preserver problem
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society
