Moore-Penrose inverse of linear operators in Hilbert space

نویسندگان

چکیده

In this paper, we investigate properties of  with closed range satisfying the operator equations   particular, invertibility of   with where Moore-Penrose inverse of T turns out to be usual under some classes operators. We also deduce a perturbed linear operator  where  such that  has ranges and  given conditions. The relation between and null spaces these operators is shown. Key words: inverse, operator,

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ژورنال

عنوان ژورنال: African Journal of Mathematics and Computer science Research

سال: 2022

ISSN: ['2006-9731']

DOI: https://doi.org/10.5897/ajmcsr2022.0919