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Some characterizations of surjective operators on banach lattices | ||
| Journal of Hyperstructures | ||
| دوره 7، شماره 2، اسفند 2018، صفحه 174-182 اصل مقاله (279.84 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2018.2699 | ||
| نویسندگان | ||
| Akbar Bahramnezhad* 1؛ Kazem Haghnejad Azar2 | ||
| 1Department of Mathematics, University of Mohaghegh Ardabili, Ardabil,Iran | ||
| 2University of Mohghegh Ardabili | ||
| چکیده | ||
| The concepts of compact and weakly compact operators on Banach spaces are considered and investigated in several papers. In this paper, taking idea from this notations, we consider the concept surjective compact and weakly compact operators on Banach lattices. In particular, we characterize Banach lattices on which operators must be surjective. | ||
| کلیدواژهها | ||
| Banach lattice؛ Semi-compact operator؛ Dunford-Pettis operator؛ L- and Mweakly compact operator | ||
| مراجع | ||
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[1] C.D. Aliprantis, and O. Burkinshaw, Positive Operators, Springer, Berlin, (2006). [2] B. Aqzzouz, and R. Nouira, and L. Zraoula, Compactness of positive semi-compact operators on Banach lattices, Rendicont Del Circlo Mathematico Di Palermo. Serie II. Tomo LV (2006), 305-313. [3] B. Aqzzouz, and A. Elbour, On the weak compactness of b-weakly compact oper-ators, Positivity 14 (2010), 75-81. [4] B. Aqzzouz, and A. Elbour, and A.W. Wickstead, Compactness of L-weakly and M-weakly compact operators on Banach lattices, Rend.Circ.Mat.Palermo (2011),60:43-50. [5] B. Aqzzouz, and R. Nouira, and L. Zraoula,About positive Dunford-Pettis oper-ators on Banach lattices, J.Math.Anal.Appl 324 (2006), 49-59. [6] S. Alpay, and B. Altin, A note on b-weakly compact operators, Positivity 11 (2007), 4, 575-582. [7] Z.L. Chen, and Wickstead, Relative weak compactness of solid hull in Banach lattices, Indag.Math. 9(2), MR1691436(2000e:46019) (1998), 187-196. [8] P. Meyer-Nieberg, Banach lattices, Universitex. Springer, Berlin, (1991). | ||
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