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On the generalized Kato spectrum

Benharrat, MohammedMessirdi, Bekkai — 2011

Serdica Mathematical Journal

2010 Mathematics Subject Classification: 47A10. 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.

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