Browsing by Author "TOUFIK, HERAIZ"

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    ESSENTIAL APPROXIMATE POINT AND ESSENTIAL DEFECT SPECTRUM OF A SEQUENCE OF LINEAR OPERATORS IN BANACH SPACES
    (Université de M'sila, 2019) TOUFIK, HERAIZ
    This paper is devoted to an investigation of the relationship between the essential approximate point spectrum (respectively, the essential defect spectrum) of a sequence of closed linear operators (Tn)n2N on a Banach space X, and the essential approximate point spectrum (respectively, the essential defect spectrum) of a linear operator T on X, where (Tn)n2N converges to T, in the case of convergence in generalized sense as well as in the case of the convergence compactly