On Operators of Strong Type B

Yıl 2012, Cilt: 41 Sayı: 5, 627 - 633, 01.05.2012

Safak Alpay

Anahtar Kelimeler

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Kaynakça

• Aliprantis, C. D. and Burkinshaw, O. Positive Operators (Academic Press, Orlando, San Diego, New York, 1985).
• Alpay, S., Altin, B. and Tonyali, C. A note on Riesz spaces with b-property, Positivity 7, 135–139, 2003).
• Alpay, S. and Altin, B. On property (b) of vector lattices, Czech Math. J. 56 (131), 765–772, 2006.
• Alpay, S. and Altin, B. On Riesz spaces with b-property and b-weakly compact operators, Vladikavkaz Mat. Zh. 11 (2), 19–26, 2009.
• 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.
• Alpay, S. and Ercan, Z. Characterization of Riesz spaces with b-property, Positivity 13, 21–30, 2009.
• Altin, B. On b-weakly compact operators, Taiwanese J. Math. 11, 143–150, 2007.
• Altin, B. On Banach lattices with Levi norms, Proc. Amer. Math. Soc. 135, 1059–1063, 2007.
• Aqzzouz, B., Elbour, A., Moussa, M. and Hmichane, J. Some characterization of b-weakly compact operators, Math. Rep. (Bucur) 12 (62), 315–324, 2010.
• Aqzzouz, B. and Elbour, A. On the weak compactness of b-weakly compact operators, Posi- tivity 14, 75–81, 2010.
• Aqzzouz, B., Elbour, A. and Hmichane, J. The duality problem of b-weakly comopact oper- ators, Positivity 13, 683–692, 2009.
• 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.
• 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.
• Ghoussoub, N. and Johnson, W. B. Operators which factor through Banach lattices not containing c(Lecture Notes in Math. 1470, Springer, Berlin, 1991).
• Meyer-Nieberg, P. Banach Lattices (Springer, Berlin, Heidelberg, New York, 1991).
• Niculescu, C. Order σ-continuous operators on Banach lattices (Lecture Notes in Math. 991, Springer, Berlin, Heidelberg, New York, 1983), 188–201.
• Zaanen, A. C. Riesz spaces II (North-Holland, Amsterdam, New York, 1983).