Abstract
AbstractA subspace of a Banach space is called anoperator rangeif it is the continuous linear image of a Banach space. Operator ranges and operator ideals with fixed range space are investigated. Properties of strictly singular, strictly cosingular, weakly sequentially precompact, and other classes of operators are derived. Perturbation theory and closed semi-Fredholm operators are discussed in the final section.
Publisher
Cambridge University Press (CUP)
Subject
General Mathematics,Statistics and Probability
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