On Linear maps that preserve the generalized projection in separable Hilbert sapce

Abdellatif Chahbi


Let H be a separable complex Hilbert space and B(H ) the algebra of all bounded linear operators on H . We give the concrete forms of surjective linear maps f : B(H ) ! B(H ) which preserve the generalized projection in one direction, operators whose products are non-zero generalized projections in both directions.


Linear preserver problems,Jordan homomorphisms, generalized projection.

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