On B † - Splitting of Bounded Linear Operators on Ordered Hilbert space

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Abstract

Abstract We discuss a subclass of a positive splitting called B † −splitting of bounded linear operator over ordered Hilbert spaces. The necessary conditions for the existence of such splitting is discussed by assuming the nonnegativity of Moore-Penrose inverse of operators. We refor-mulate a method to construct B † − splitting. Mathematics subject classification(2020). 47B02, 47B65

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License: CC-BY-4.0