Geodesic
On Minimizing ||S−(AX−XB)||Pp
Serdica Mathematical Journal, Tome 26 (2000) no. 2, pp. 119-126.

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In this paper, we minimize the map Fp (X)= ||S−(AX−XB)||Pp , where the pair (A, B) has the property (F P )Cp , S ∈ Cp , X varies such that AX − XB ∈ Cp and Cp denotes the von Neumann-Schatten class.
Keywords: Generalized Derivation, Orthogonality, von Neumann-Schatten Class, Putnam Fuglede′s property 
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     author = {Mecheri, Salah},
     title = {On {Minimizing} {||S\ensuremath{-}(AX\ensuremath{-}XB)||Pp}},
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Mecheri, Salah. On Minimizing ||S−(AX−XB)||Pp. Serdica Mathematical Journal, Tome 26 (2000) no. 2, pp. 119-126. http://geodesic.mathdoc.fr/item/SMJ2_2000_26_2_a2/