This analysis shows how fredholm operators maintain their properties when altered by orthogonal idempotents, suggesting crucial mathematical conditions.
Let H be an infinite dimensional complex Hilbert space and F01(H) the set of all Fredholm operators perturbed by orthogonal idempotents in Banach space. In the present paper, we determine the conditions under which Fredholm operators retain Fredholmness when perturbed by orthogonal idempotents in Banach spaces.
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Nyaluke et al. (2020) studied this question.