ESSENTIAL APPROXIMATE POINT AND ESSENTIAL DEFECT SPECTRUM OF A SEQUENCE OF LINEAR OPERATORS IN BANACH SPACES
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Date
2019
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Publisher
Université de M'sila
Abstract
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