Said Guedjiba

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Let H be a Hilbert space and B(H) the algebra of all bounded linear operators on H. In this paper, we study the class of operators A ∈ B(H) with closed range such that AA+ − A+A is invertible, where A+ is the Moore-Penrose inverse of A. Also, we present new relations between (AA∗ + A∗A)−1 and (A + A∗)−1. The present paper is an extension of results from [J.(More)
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