Geodesic
Adjoint characterisations of unbounded weakly compact, weakly completely continuous and unconditionally converging operators
Studia Mathematica, Tome 113 (1995) no. 3, pp. 283-298

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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. 
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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