Linear maps preserving idempotent operators
Bull. Korean Math. Soc. 2010 Vol. 47, No. 4, 787-792
https://doi.org/10.4134/BKMS.2010.47.4.787
Published online July 1, 2010
Ali Taghavi and Roja Hosseinzadeh
University of Mazandaran, University of Mazandaran
Abstract : 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 $\Phi:A\longrightarrow B$ on finite-rank operators.
Keywords : standard algebra, linear preserver, idempotent
MSC numbers : 46J10, 47B48
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