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Some Properties of the Class of b-Weakly Compact Operators

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Abstract

We establish several characterizations of b-weakly compact operators one of them is similar to that established by Meyer-Nieberg for order weakly compact operators.

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References

  1. Aliprantis, C.D., Burkinshaw, O.: Positive Operators. Reprint of the 1985 original. Springer, Dordrecht (2006)

  2. Alpay S., Altin B., Tonyali C.: On property (b) of vector lattices. Positivity 7(1–2), 135–139 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  3. Alpay S., Altin B., Tonyali C.: A note on Riesz spaces with property-b. Czechoslov. Math. J. 56(2), 765–772 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  4. Alpay S., Altin B.: A note on b-weakly compact operators. Positivity 11(4), 575–582 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  5. Alpay S., Ercan Z.: Characterizations of Riesz spaces with b-property. Positivity 13(1), 21–30 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  6. Altin B.: On b-weakly compact operators on Banach lattices. Taiwan. J. Math. 11, 143–150 (2007)

    MathSciNet  MATH  Google Scholar 

  7. Aqzzouz B., Elbour A., Hmichane J.: The duality problem for the class of b-weakly compact operators. Positivity 13(4), 683–692 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  8. Aqzzouz B., Elbour A.: On the weak compactness of b-weakly compact operators. Positivity 14(1), 75–81 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  9. Aqzzouz, B., Elbour, A., Hmichane, J.: Some characterizations of b-weakly compact operators. Submitted

  10. Meyer-Nieberg P.: Banach Lattices. Universitext. Springer, Berlin (1991)

    Book  Google Scholar 

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Authors and Affiliations

  1. Département d’Economie, Faculté des Sciences Economiques, Juridiques et Sociales, Université Mohammed V-Souissi, B.P. 5295, SalaAljadida, Morocco

    Belmesnaoui Aqzzouz

  2. Département de Mathématiques, Faculté des Sciences, Université Ibn Tofail, B.P. 133, Kénitra, Morocco

    Aziz Elbour

Authors
  1. Belmesnaoui Aqzzouz
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  2. Aziz Elbour
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Correspondence to Belmesnaoui Aqzzouz.

Additional information

Communicated by Daniel Aron Alpay.

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Aqzzouz, B., Elbour, A. Some Properties of the Class of b-Weakly Compact Operators. Complex Anal. Oper. Theory 6, 1139–1145 (2012). https://doi.org/10.1007/s11785-010-0108-z

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  • DOI: https://doi.org/10.1007/s11785-010-0108-z

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