Linear maps preserving G-unitary operators in Hilbert space

Abstract

Let H be a complex Hilbert space and B(H) the algebra of all bounded linear operators on H. We give the concrete forms of surjective continuous unital linear maps from B(H) onto itself that preserve G-unitary operators.

Keywords

• Linear preserver
• Jordan homomorphisms
• Operators on spaces with an indefinite metric
• Unitary operators