Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

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Bull. Korean Math. Soc. 2010; 47(4): 787-792

Published online July 1, 2010 https://doi.org/10.4134/BKMS.2010.47.4.787

Copyright © The Korean Mathematical Society.

Linear maps preserving idempotent operators

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