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\(F_+\) operators and classes associated with some classes of unbounded operators. (English) Zbl 1194.47043

Summary: We study in a unified way the classes of all weakly compact, weakly completely continuous, unconditionally converging and Rosenthal operators in relation to a naturally associated class of operators and we generalise certain results of M. Gonzalez and V. M. Onieva [Proc. R. Ir. Acad., Ser. A 88, 35–38 (1988; Zbl 0633.47029)] and M. Gonzalez and A. Abejon Martinez [Bull. Aust. Math. Soc. 57, No. 1, 135–146 (1998; Zbl 0916.47028)] for unbounded operators acting between normed spaces.

MSC:

47D03 Groups and semigroups of linear operators
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