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Adjoint characterisations of unbounded weakly compact, weakly completely continuous and unconditionally converging operators

Tom 113 / 1995

T. Alvarez Studia Mathematica 113 (1995), 283-298 DOI: 10.4064/sm-113-3-283-298

Streszczenie

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.

Autorzy

  • T. Alvarez

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