On the fine spectrum of the generalized difference operator  over the sequence spaces  and .

Altay, Bilâl; Başar, Feyzi

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Displaying similar documents to “On the fine spectrum of the generalized difference operator $B (r, s)$ over the sequence spaces $c_{0}$ and $c$ .”

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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.