On Operators of Strong Type B

Abstract

-

Keywords

• -

References

1. Aliprantis, C. D. and Burkinshaw, O. Positive Operators (Academic Press, Orlando, San Diego, New York, 1985).
2. Alpay, S., Altin, B. and Tonyali, C. A note on Riesz spaces with b-property, Positivity 7, 135–139, 2003).
3. Alpay, S. and Altin, B. On property (b) of vector lattices, Czech Math. J. 56 (131), 765–772, 2006.
4. Alpay, S. and Altin, B. On Riesz spaces with b-property and b-weakly compact operators, Vladikavkaz Mat. Zh. 11 (2), 19–26, 2009.
5. Alpay, S. and Altin, B. A note on b-weakly compact operators, Positivity 11,575–582, 2007. [6] Alpay, S. and Altin, B. On Riesz spaces with b-property and strongly order bounded opera- tors, Rend. Circ. Mat. Palermo 60 (2), 1–12, 2011.
6. Alpay, S. and Ercan, Z. Characterization of Riesz spaces with b-property, Positivity 13, 21–30, 2009.
7. Altin, B. On b-weakly compact operators, Taiwanese J. Math. 11, 143–150, 2007.
8. Altin, B. On Banach lattices with Levi norms, Proc. Amer. Math. Soc. 135, 1059–1063, 2007.

9. Aqzzouz, B., Elbour, A., Moussa, M. and Hmichane, J. Some characterization of b-weakly compact operators, Math. Rep. (Bucur) 12 (62), 315–324, 2010.
10. Aqzzouz, B. and Elbour, A. On the weak compactness of b-weakly compact operators, Posi- tivity 14, 75–81, 2010.
11. Aqzzouz, B., Elbour, A. and Hmichane, J. The duality problem of b-weakly comopact oper- ators, Positivity 13, 683–692, 2009.
12. Aqzzouz, B., Nouira, R. and Zraoula, I. Semi-compactness of positive Dunford-Pettis oper- ators on Banach lattices, Proc. Amer. Math. Soc. 136, 1957–2006, 2006.
13. Aqzzouz, B., Elbour, A. and Aboutafail, O. Compactness of b-weakly compact operators, Preprint. [15] Aqzzouz, B. and Elbour, A. On the weak compactness of order weakly compact operators, Preprint. [16] Ghoussoub, N. and Johnson, W. B. Counterexamples to several problems on the factorization of bounded linear operators, Proc. Amer. Math. Soc. 92, 233–238, 1984.
14. Ghoussoub, N. and Johnson, W. B. Operators which factor through Banach lattices not containing c(Lecture Notes in Math. 1470, Springer, Berlin, 1991).
15. Meyer-Nieberg, P. Banach Lattices (Springer, Berlin, Heidelberg, New York, 1991).
16. Niculescu, C. Order σ-continuous operators on Banach lattices (Lecture Notes in Math. 991, Springer, Berlin, Heidelberg, New York, 1983), 188–201.
17. Zaanen, A. C. Riesz spaces II (North-Holland, Amsterdam, New York, 1983).