Adjoint characterisations of unbounded weakly compact, weakly completely continuous and unconditionally converging operators
Studia Mathematica, Tome 113 (1995) no. 3, pp. 283-298
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
Characterisations are obtained for the following classes of unbounded linear operators between normed spaces: weakly compact, weakly completely continuous, and unconditionally converging operators. Examples of closed unbounded operators belonging to these classes are exhibited. A sufficient condition is obtained for the weak compactness of T' to imply that of T.
@article{10_4064_sm_113_3_283_298,
author = {T. Alvarez},
title = {Adjoint characterisations of unbounded weakly compact, weakly completely continuous and unconditionally converging operators},
journal = {Studia Mathematica},
pages = {283--298},
year = {1995},
volume = {113},
number = {3},
doi = {10.4064/sm-113-3-283-298},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-113-3-283-298/}
}
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%0 Journal Article %A T. Alvarez %T Adjoint characterisations of unbounded weakly compact, weakly completely continuous and unconditionally converging operators %J Studia Mathematica %D 1995 %P 283-298 %V 113 %N 3 %U http://geodesic.mathdoc.fr/articles/10.4064/sm-113-3-283-298/ %R 10.4064/sm-113-3-283-298 %G en %F 10_4064_sm_113_3_283_298
T. Alvarez. Adjoint characterisations of unbounded weakly compact, weakly completely continuous and unconditionally converging operators. Studia Mathematica, Tome 113 (1995) no. 3, pp. 283-298. doi: 10.4064/sm-113-3-283-298
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