Condition spectra of special operators and condition spectra preservers

Let H be a complex Hilbert space and let L(H) be the algebra of all bounded linear operators on H. Descriptions of the condition spectra of various special classes of operators are established. As application, characterization is obtained for maps on L(H) leaving invariant the condition spectrum or the condition spectral radius of the product of operators. Analogous results are obtained for Jordan triple product of operators.