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A Short Proof of Vladimirskii′s Theorem on Precompact Perturbations in Locally Convex Spaces

Published online by Cambridge University Press:  20 November 2018

Le Quang Chu
Le Quang Chu*
Affiliation:
Department of Mathematics, University of Saskatchewan Saskatoon, SaskatchewanCanada
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Let T, P denote two continuous operators from E into F, where E and F are locally convex spaces. It is proved by L. Schwartz [8] and G. KÖthe [6] that if E and F are Fréchet spaces, T is a ϕ_-operator and P a compact operator, then T+P is a ϕ_-operator.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 18 , Issue 5 , 01 December 1975 , pp. 649 - 655
Copyright
Copyright © Canadian Mathematical Society 1975

References

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