Geodesic
On the generalized Kato spectrum
Serdica Mathematical Journal, Tome 37 (2011) no. 4, pp. 283-294

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We show that the symmetric difference between the generalized Kato spectrum and the essential spectrum defined in [7] by sec(T) = {l О C ; R(lI-T) is not closed } is at most countable and we also give some relationship between this spectrum and the SVEP theory.
Keywords: Semi-Regular Operators, Kato Type Operators, Generalized Kato Spectrum, Essential Spectrum 
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Benharrat, Mohammed; Messirdi, Bekkai. On the generalized Kato spectrum. Serdica Mathematical Journal, Tome 37 (2011) no. 4, pp. 283-294. http://geodesic.mathdoc.fr/item/SMJ2_2011_37_4_a1/