The authors prove that bounded components of the quasi-Fredholm and semi B-Fredholm resolvent sets correspond one-to-one, and use this to characterize when compact perturbations preserve SVEP.
Aiena, Fredholm and local spectral theory, with applications to mu ltipliers, Kluwer Academic Publishers, Dordrecht, 2004
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Quasi-Fredholm spectrum and compact perturbations
The authors prove that bounded components of the quasi-Fredholm and semi B-Fredholm resolvent sets correspond one-to-one, and use this to characterize when compact perturbations preserve SVEP.