On the duality problem for the class of weak Banach–Saks operators

Abstract

We study the duality relationship between weak Banach–Saks operators and some other classes of operators.

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Acknowledgements

The authors would like to thank the referees for their valuable comments which helped to improve the manuscript.

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Correspondence to Othman Aboutafail.

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Aboutafail, O., H’michane, J., Hafidi, N. et al. On the duality problem for the class of weak Banach–Saks operators. Rend. Circ. Mat. Palermo, II. Ser (2020). https://doi.org/10.1007/s12215-020-00533-2

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Keywords

  • Weak Banach–Saks operator
  • Order continuous norm
  • KB-space
  • Discrete vector lattice
  • Positive Schur property
  • Schur property

Mathematics Subject Classification

  • Primary 46B07
  • Secondary 46B42
  • 47B50