Linear Maps Preserving the Generalized Projection

Samir Kabbaj, Ahmed Charifi, Abedellatif Chahbi


Abstract. Let H be a separable complex Hilbert space and B(H ) the al-gebra of all bounded linear operators on H . We give the concrete forms ofsurjective continue linear maps \phi  : B(H )  \to B(H ) preserving the generalized projection.

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The Thai Journal of Mathematics organized and supported by The Mathematical Association of Thailand and Thailand Research Council and the Center for Promotion of Mathematical Research of Thailand (CEPMART).

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|ISSN 1686-0209|