A Short Proof of Vladimirskii′s Theorem on Precompact Perturbations in Locally Convex Spaces
Keyword(s):
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.
1974 ◽
Vol 26
(6)
◽
pp. 1294-1300
◽
Keyword(s):
2003 ◽
Vol 13
(07)
◽
pp. 1649-1655
◽
Keyword(s):
2018 ◽
Vol 13
(01)
◽
pp. 2050017
Keyword(s):
1990 ◽
Vol 13
(3)
◽
pp. 607-610
Keyword(s):
2015 ◽
Vol 22
(4)
◽
pp. 550-552
◽