This analysis reveals continuity of Fredholm operators under perturbations by orthogonal idempotents, suggesting implications in functional analysis.
In the present work, authors presented characterization on continuity of Fredholm operators when perturbed by orthogonal idempotents in Banach space. In particular, authors show that these operators are continuous under pertubations in Hilbert spaces.
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Nyaluke et al. (2020) studied this question.