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http://dx.doi.org/10.4134/BKMS.2010.47.4.787

LINEAR MAPS PRESERVING IDEMPOTENT OPERATORS  

Taghavi, Ali (DEPARTMENT OF MATHEMATICS FACULTY OF BASIC SCIENCES UNIVERSITY OF MAZANDARAN)
Hosseinzadeh, Roja (DEPARTMENT OF MATHEMATICS FACULTY OF BASIC SCIENCES UNIVERSITY OF MAZANDARAN)
Publication Information
Bulletin of the Korean Mathematical Society / v.47, no.4, 2010 , pp. 787-792 More about this Journal
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 $\Phi\;:\;A\;{\rightarrow}\;B$ on finite-rank operators.
Keywords
standard algebra; linear preserver; idempotent;
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