Abstract
AbstractWe extend certain results of the theory of closed operators in Banach spaces to general linear operators in normed spaces. A ‘state diagram’ for linear operators is drawn up. We prove some perturbation theorems, improving or correcting certain results of Goldberg.
Publisher
Cambridge University Press (CUP)
Cited by
3 articles.
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1. Semicontinuity of nullity or deficiency implies normability of the space;Proceedings of the American Mathematical Society;1971
2. Doubling perturbation sizes and preservation of operator indices in normed linear spaces;Mathematical Proceedings of the Cambridge Philosophical Society;1969-09
3. Linear operators with closed range;Mathematical Proceedings of the Cambridge Philosophical Society;1968-10