Some results on second transpose of a dual valued derivation

	Some results on second transpose of a dual valued derivation
International Journal of Nonlinear Analysis and Applications
مقاله 52، دوره 10، شماره 2، اسفند 2019، صفحه 267-273 اصل مقاله (314.87 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2019.4195
نویسنده
Morteza Essmaili^*
Department of Mathematics, Faculty of Mathematical and Computer Science, Kharazmi University, 50 Taleghani Avenue, 15618 Tehran, Iran
چکیده
Let $A$ be a Banach algebra and $X$ be an arbitrary Banach $A$-module. In this paper, we study the second transpose of derivations with value in dual Banach $A$-module $X^{}.$ Indeed, for a continuous derivation $D:A\longrightarrow X^{}$ we obtain a necessary and sufficient condition such that the bounded linear map $\Lambda\circ D^{\prime\prime}:A^{}\longrightarrow X^{*}$ to be a derivation, where $\Lambda$ is composition of restriction and canonical injection maps. This characterization generalizes some well known results in [2].
کلیدواژه‌ها
Derivation؛ second transpose؛ Banach module؛ module actions
آمار تعداد مشاهده مقاله: 15,793 تعداد دریافت فایل اصل مقاله: 9,163

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