Abstract
We characterize Banach lattices on which the class of b-weakly compact operators coincides with that of weakly compact operators.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Aliprantis C.D., Burkinshaw O.: Positive Operators. Reprint of the 1985 original. Springer, Dordrecht (2006)
Alpay S., Altin B., Tonyali C.: On property (b) of vector lattices. Positivity 7(1–2), 135–139 (2003)
Alpay, S., Altin, B., Tonyali, C.: A note on Riesz spaces with property-b. Czechoslov. Math. J. 56(131), no. 2, 765–772 (2006)
Alpay S., Altin B.: A note on b-weakly compact operators. Positivity 11(4), 575–582 (2007)
Alpay S., Ercan Z.: Characterizations of Riesz spaces with b-property. Positivity 13(1), 21–30 (2009)
Altin B.: Some properties of b-weakly compact operators. G.U. J. Sci. 18(3), 391–395 (2005)
Altin B.: On b-weakly compact operators on Banach lattices. Taiwan. J. Math. 11, 143–150 (2007)
Aqzzouz, B., Elbour, A., Hmichane, J.: The duality problem for the class of b-weakly compact operators. Positivity (in press)
Meyer-Nieberg P.: Banach Lattices. Springer, Berlin (1991)
Schaefer H.H.: Banach Lattices and Positive Operators. Springer, Berlin (1974)
Zaanen A.C.: Riesz spaces II. North Holland Publishing Company, Amsterdam (1983)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Aqzzouz, B., Elbour, A. On the weak compactness of b-weakly compact operators. Positivity 14, 75–81 (2010). https://doi.org/10.1007/s11117-009-0006-7
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11117-009-0006-7