LINEAR MAPS PRESERVING IDEMPOTENT OPERATORS

Title & Authors
LINEAR MAPS PRESERVING IDEMPOTENT OPERATORS

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 $\small{\Phi\;:\;A\;{\rightarrow}\;B}$ on finite-rank operators.
Keywords
standard algebra;linear preserver;idempotent;
Language
English
Cited by
1.
Maps preserving the fixed points of triple Jordan products of operators, Indagationes Mathematicae, 2016, 27, 3, 850
2.
A characterization of an isomorphism, Asian-European Journal of Mathematics, 2017, 1850022
3.
Maps preserving the dimension of fixed points of products of operators, Linear and Multilinear Algebra, 2014, 62, 10, 1285
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