پیوندهای مفید
آمار
| تعداد نشریات | 30 |
| تعداد شماره‌ها | 416 |
| تعداد مقالات | 3,660 |
| تعداد مشاهده مقاله | 5,782,558 |
| تعداد دریافت فایل اصل مقاله | 3,961,986 |
Factorization properties and generalization of multipliers in module actions | ||
| Journal of Hyperstructures | ||
| دوره 4، شماره 2، اسفند 2015، صفحه 142-155 اصل مقاله (110.02 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2015.2605 | ||
| نویسنده | ||
| Kazem Haghnejad Azar* | ||
| Department of Mathematics and Applications, University of Mohaghegh Ardabili, P.O.Box 179, Ardabil, Iran | ||
| چکیده | ||
| In this paper, We establish some necessary and sufficient conditions for relationships between the topological centers of module actions and factorization properties of them and we give a new definition for multiplier in module actions with some results. | ||
| کلیدواژه‌ها | ||
| Arens regularity؛ bilinear mapping؛ topological center؛ module action؛ factorization؛ weakly compact | ||
| مراجع | ||
|
[1] R. E. Arens, The adjoint of a bilinear operation, Proc. Amer. Math. Soc. 2(1951), 839-848. [2] N. Arikan, A simple condition ensuring the Arens regularity of bilinear mappings, Proc. Amer. Math. Soc. 84 (4) (1982), 525-532. [3] J. Baker, A.T. Lau, J.S. Pym Module homomorphism and topological centers as-sociated with weakly sequentially compact Banach algebras, Journal of Functional Analysis. 158 (1998), 186-208. [4] F. F. Bonsall, J. Duncan, Complete normed algebras, Springer-Verlag, Berlin 1973. [5] H. G. Dales, Banach algebra and automatic continuity, Oxford 2000. [6] H. G. Dales, A. T-M. Lau, The second dual of Beurling algebras, Mem. Amer.Math. Soc 177 (2005). [7] H. G. Dales, A. Rodrigues-Palacios, M.V. Velasco, The second transpose of a derivation, J. London. Math. Soc. 2 64 (2001) 707-721. [8] N. Dunford, J. T. Schwartz, Linear operators.I, Wiley, New york 1958. [9] M. Eshaghi Gordji, M. Filali, Arens regularity of module actions, Studia Math.181 3 (2007), 237-254. [10] M. Eshaghi Gordji, M.Filali, Weak amenability of the second dual of a Banach algebra,Studia Math.182 3(2007),205-213. [11] K. Haghnejad Azar, A. Riazi, Arens regularity of bilinear forms and unital Ba-nach module space, arXive. math. [12] E. Hewitt, K. A. Ross, Abstract harmonic analysis, Springer, Berlin, Vol I 1963. [13] E. Hewitt, K. A. Ross, Abstract harmonic analysis, Springer, Berlin, Vol II 1970. [14] Z. Hu, M. Neufang and Z.-J. Ruan, Multipliers on new class of Banach algebras,locally compact quantum groups, and toplogical centers, Proc. London Math. Soc.3 100 (2010) 429 - 458. [15] A. T. Lau, V. Losert, On the second Conjugate Algebra of locally compact groups, J. London Math. Soc. 37 (2)(1988), 464-480. [16] A. T. Lau, A. Ulger, ¨ Topological center of certain dual algebras, Trans. Amer.Math. Soc. 348 (1996), 1191-1212. [17] S. Mohamadzadih, H. R. E. Vishki, Arens regularity of module actions and the second adjoint of a derivation, Bulletin of the Australian Mathematical Society 77 (2008), 465-476. [18] M. Neufang, Solution to a conjecture by Hofmeier-Wittstock, Journal of Func-tional Analysis. 217 (2004), 171-180. [19] M. Neufang, On a conjecture by Ghahramani-Lau and related problem concerning topological center, Journal of Functional Analysis. 224 (2005), 217-229. [20] J. S. Pym, The convolution of functionals on spaces of bounded functions, Proc. London Math Soc. 15 (1965), 84-104. [21] J. S. Pym, A. Saghafi Volterra-like Banach algebras and their second duals, Mh. Math, 127 (1999), 203-217. [22] A. Ulger, ¨ Arens regularity sometimes implies the RNP, Pacific Journal of Math.143 (1990), 377-399. [23] A. Ulger, ¨ Some stability properties of Arens regular bilinear operators, Proc.Amer. Math. Soc. (1991) 34, 443-454. [24] A. Ulger, ¨ Arens regularity of weakly sequentialy compact Banach algebras, Proc.Amer. Math. Soc. 127 (11) (1999), 3221-3227. [25] A. Ulger, ¨ Arens regularity of the algebra A⊗ˆB, Trans. Amer. Math. Soc. 305 (2)(1988) 623-639. [26] P. K. Wong, The second conjugate algebras of Banach algebras, J. Math. Sci. 17(1) (1994), 15-18. [27] N. J. Young The irregularity of multiplication in group algebra Quart. J. Math.Soc., 24 (2) (1973), 59-62. [28] Y.Zhang,Weak amenability of module extentions of Banach algebras Trans. Amer. Math. Soc. 354(10)(2002),4131-4151. | ||
|
آمار تعداد مشاهده مقاله: 121 تعداد دریافت فایل اصل مقاله: 97 |
||