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.
DOI : 10.4064/sm-113-3-283-298

T. Alvarez 1

1
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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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