Adjoint characterisations of unbounded weakly compact, weakly completely continuous and unconditionally converging operators
Volume 113 / 1995
Studia Mathematica 113 (1995), 283-298
DOI: 10.4064/sm-113-3-283-298
Abstract
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.
