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1Academic Journal
المؤلفون: El Fahri, Kamal, Machrafi, Nabil, H'michane, Jawad, Elbour, Aziz
مصطلحات موضوعية: keyword:$\rm (L)$ set, keyword:order $\rm (L)$-Dunford-Pettis operator, keyword:weakly sequentially continuous lattice operations, keyword:Banach lattice, msc:46B42, msc:46B50, msc:47B65
وصف الملف: application/pdf
Relation: mr:MR3557583; zbl:Zbl 06644017; reference:[1] Aliprantis, C. D., Burkinshaw, O.: Positive Operators.Springer, Dordrecht (2006). Zbl 1098.47001, MR 2262133; reference:[2] Aqzzouz, B., Bouras, K.: Weak and almost Dunford-Pettis operators on Banach lattices.Demonstr. Math. 46 (2013), 165-179. Zbl 1280.46010, MR 3075506; reference:[3] Aqzzouz, B., Bouras, K.: Dunford-Pettis sets in Banach lattices.Acta Math. Univ. Comen., New Ser. 81 (2012), 185-196. Zbl 1274.46051, MR 2975284; reference:[4] Dodds, P. G., Fremlin, D. H.: Compact operators in Banach lattices.Isr. J. Math. 34 (1979), 287-320. Zbl 0438.47042, MR 0570888, 10.1007/BF02760610; reference:[5] Kaddouri, A. El, Moussa, M.: About the class of ordered limited operators.Acta Univ. Carol. Math. Phys. 54 (2013), 37-43. Zbl 1307.46008, MR 3222749; reference:[6] Emmanuele, G.: A dual characterization of Banach spaces not containing $\ell ^{1}$.Bull. Pol. Acad. Sci. Math. 34 (1986), 155-160. MR 0861172; reference:[7] Ghenciu, I., Lewis, P.: The Dunford-Pettis property, the Gelfand-Phillips property, and L-sets.Colloq. Math. 106 (2006), 311-324. Zbl 1118.46017, MR 2283818, 10.4064/cm106-2-11; reference:[8] Meyer-Nieberg, P.: Banach Lattices.Universitext. Springer, Berlin (1991). Zbl 0743.46015, MR 1128093
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2Academic Journal
المؤلفون: El Kaddouri, A., Moussa, M.
مصطلحات موضوعية: keyword:limited sequences, keyword:limited set, keyword:Gelfand-Phillips property, keyword:weak* sequentially continuous lattice operations, msc:46B42, msc:47B60, msc:47B65
وصف الملف: application/pdf
Relation: mr:MR3222749; zbl:Zbl 06367609
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3Academic Journal
المؤلفون: Aqzzouz, Belmesnaoui, Elbour, Aziz
مصطلحات موضوعية: keyword:order weakly compact operator, keyword:order continuous norm, keyword:discrete Banach lattice, keyword:weakly sequentially continuous lattice operations, msc:46A40, msc:46B40, msc:46B42, msc:47B07, msc:47B60
وصف الملف: application/pdf
Relation: mr:MR2807713; zbl:Zbl 1224.46035; reference:[1] Aliprantis, C. D., Burkinshaw, O.: Locally Solid Riesz Spaces.Academic Press (1978). Zbl 0402.46005, MR 0493242; reference:[2] Aliprantis, C. D., Burkinshaw, O.: Positive Operators.Reprint of the 1985 original. Springer, Dordrecht (2006). Zbl 1098.47001, MR 2262133; reference:[3] Dodds, P. G.: o-weakly compact mappings of Riesz spaces.Trans. Amer. Math. Soc. 214 (1975), 389-402. Zbl 0313.46011, MR 0385629; reference:[4] Meyer-Nieberg, P.: Banach Lattices.Universitext. Springer, Berlin (1991). Zbl 0743.46015, MR 1128093; reference:[5] Wickstead, A. W.: Converses for the Dodds-Fremlin and Kalton-Saab Theorems.Math. Proc. Camb. Phil. Soc. 120 (1996), 175-179. Zbl 0872.47018, MR 1373356, 10.1017/S0305004100074752