some remarks on perturbation classes of semi-fredholm and fredholm operators

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2007
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Abstract
We show the existence of Banach spaces X, Y such that the set of strictly singular operators 𝒮(X,Y) (resp., the set of strictly cosingular operators 𝒞𝒮(X,Y)) would be strictly included in ℱ+(X,Y) (resp., ℱ−(X,Y)) for the nonempty class of closed densely defined upper semi-Fredholm operators Φ+(X,Y) (resp., for the nonempty class of closed densely defined lower semi-Fredholm operators Φ−(X,Y)).
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Authors ;Abdelkader Dehici;Khaled Saoudi
Journal structural engineering and mechanics
Year 2007
DOI
10.1155/2007/26254
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