Volume 11, Issue 2 (11-2016)                   IJMSI 2016, 11(2): 131-137 | Back to browse issues page


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Taghavi A, Hosseinzadeh R, Rohi H. Additive Maps Preserving Idempotency of Products or Jordan Products of Operators. IJMSI. 2016; 11 (2) :131-137
URL: http://ijmsi.ir/article-1-580-en.html
Abstract:  

Let $mathcal{H}$ and $mathcal{K}$ be infinite dimensional Hilbert spaces, while $mathcal{B(H)}$ and $mathcal{B(K)}$ denote the algebras of all linear bounded operators on $mathcal{H}$ and $mathcal{K}$, respectively. We characterize the forms of additive mappings from $mathcal{B(H)}$ into $mathcal{B(K)}$ that preserve the nonzero idempotency of either Jordan products of operators or usual products of operators in both directions.

Type of Study: Research | Subject: Special

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