Abstract
We give a characterization of weak\(^{\star }\) Dunford–Pettis operators and we study its relation with limited completely continuous operators.
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El Kaddouri, A., H’michane, J., Bouras, K. et al. On the class of weak\(^{\star }\) Dunford–Pettis operators. Rend. Circ. Mat. Palermo 62, 261–265 (2013). https://doi.org/10.1007/s12215-013-0122-x
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DOI: https://doi.org/10.1007/s12215-013-0122-x
Keywords
- Limited sets
- Dunford–Pettis set
- Gelfand-Phillips property
- Dunford–Pettis\(^{\star }\) property
- Weak Dunford–Pettis operator