Maps preserving the idempotency of products of operators |
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| Authors: | Li Fang Guoxing Ji Yongfeng Pang |
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| Institution: | a College of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710062, PR China
b Department of Mathematics, Northwest University, Xi’an 710069, PR China |
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| Abstract: | Let B(X) be the algebra of all bounded linear operators on a complex Banach space X. We give the concrete form of every unital surjective map φ on B(X) such that AB is a non-zero idempotent if and only if φ(A)φ(B) is for all A,B∈B(X) when the dimension of X is at least 3. |
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| Keywords: | 47B49 |
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