Abstract
The purpose of this paper is to study a new generalized inverse called weighted CMP inverse associated with an operator between two Hilbert spaces, using its Wg-Drazin inverse and its Moore–Penrose inverse. This generalized inverse extends the notion of the weighted CMP inverse for a rectangular matrix. We give some new properties of weighted CMP inverse establishing matrix expression for the weighted CMP inverse of an operator and matrix expression for the Moore–Penrose inverse of this new inverse. Applying these results, we introduce and characterize the CMP inverse for a Hilbert space operator.
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Schedule a callMore From: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas
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