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LINEAR MAPS PRESERVING IDEMPOTENT OPERATORS
Ali Taghavi,Roja Hosseinzadeh 대한수학회 2010 대한수학회보 Vol.47 No.4
Let A and B be some standard operator algebras on complex Banach spaces X and Y , respectively. We give the concrete forms of linear idempotence preserving maps φ : A → B on finite-rank operators.
LINEAR MAPS PRESERVING IDEMPOTENT OPERATORS
Taghavi, Ali,Hosseinzadeh, Roja Korean Mathematical Society 2010 대한수학회보 Vol.47 No.4
Let A and B be some standard operator algebras on complex Banach spaces X and Y, respectively. We give the concrete forms of linear idempotence preserving maps $\Phi\;:\;A\;{\rightarrow}\;B$ on finite-rank operators.