Acta Mathematica Academiae Paedagogicae Nyíregyháziensis, Vol. 30, pp. 111-118 (2014)

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Maps preserving the spectrum of certain products of operators

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Maps preserving the spectrum of certain products of operators

Ali Taghavi and Roja Hosseinzadeh

**Abstract:** Let H be a complex Hilbert space, B(H) and S(H) be the spaces of all bounded operators and all self-adjoint operators on H, respectively. We give the concrete forms of the maps on B(H) and also S(H) which preserve the spectrum of certain products of operators.

**Keywords:** Operator algebra; Non-linear spectrum preserving; Self-adjoint operator

**Classification (MSC2000):** 46J10; 47B48

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