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Ahlam Jameel Khaleel
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SOME PROPERTIES OF THE NON LINEAR OPERATOR MAPPINGS Khaleel, Ahlam Jameel; Mohisn, Salim Dawood
MAGISTRA Vol 26, No 88 (2014): Magistra Edisi Juni
Publisher : MAGISTRA

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Abstract

In this paper, we discuss and study some properties of the mapping ,)( ** AXXAXA  defined for bounded nonlinear operators X on a complex Hilbert space. Also, we study the range of this mapping and solvability of the operator equation ,)( BXA  where B is bounded linear operator, as well as study the mapping ***** )()()( AXXAAXXAX nn A   , with given necessary and sufficient condition to solvability of the operator equation .)( BXA 