Title of article :
Additive Maps Preserving Idempotency of Products or Jordan Products of Operators
Author/Authors :
Taghavi ، Ali Department of Mathematics - Faculty of Mathematical Sciences - University of Mazandaran , Hosseinzadeh ، Roja Department of Mathematics - Faculty of Mathematical Sciences - University of Mazandaran , Rohi ، Hamid Department of Mathematics - Faculty of Mathematical Sciences - University of Mazandaran
Abstract :
Let H and K be infinite dimensional Hilbert spaces, while B(H) and B(K) denote the algebras of all linear bounded operators on H and K, respectively. We characterize the forms of additive mappings from B(H) into B(K) that preserve the nonzero idempotency of either Jordan products of operators or usual products of operators in both directions.
Keywords :
Operator algebra , Jordan product , Idempotent.
Journal title :
Iranian Journal of Mathematical Sciences and Informatics (IJMSI)
Journal title :
Iranian Journal of Mathematical Sciences and Informatics (IJMSI)
