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Product of derivations on triangular banach algebras | ||
| Journal of Hyperstructures | ||
| دوره 6، شماره 1، شهریور 2017، صفحه 28-39 اصل مقاله (282.71 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2017.2659 | ||
| نویسندگان | ||
| Mohammad Hossein Sattari* ؛ Hamid Shafieasl | ||
| Department of Mathematics, Azarbaijan Shahid Madani University, P.O.Box 53751 71379, Tabriz, Iran | ||
| چکیده | ||
| In this paper, we give a necessary and sufficient condition for the product of two derivations on the triangular Banach algebra to be a derivation. We also study the case where the product of derivations is commutative. | ||
| کلیدواژه‌ها | ||
| Banach bimodule؛ Derivations؛ Triangular Banach algebras | ||
| مراجع | ||
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[1] T. Creedon, Product of derivations, Proc. Edinb. Math. Soc., 41(2) (1998), 407-410. [2] H. G. Dales, Banach algebra and automatic continuity, London Math. Soc.Monogr. Ser., vol. 24. Clarendon Press, Oxford (2000). [3] B. E. Forrest and L. W. Marcoux, Derivations of triangular Banach algebras, Indiana Univ. Math. J., 45 (1996), 441-462. [4] F. Ghahramani, Homomorphisms and derivations on weighted convolution algebras, J. Lond. Math. Soc., 21(2) (1980), 149-161. [5] H. Kamowitz and S. Scheinberg, Derivations and automorphisms of L1(0, 1),Trans. Amer. Math. Soc., 135 (1969), 415-427. [6] I. M. Singer and J. Wermer, Derivation on commutative normed algebra, Math.Ann., 129 (1955), 260-264. | ||
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