عنوان
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On the continuity of some linear maps on certain Banach algebras
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نوع پژوهش
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مقاله چاپشده در مجلات علمی
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کلیدواژهها
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Lau product, derivation, multiplier, automatic continuity
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چکیده
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Let A and U be Banach algebras, θ be a nonzero character on A and let A ×θ U be the corresponding Lau product Banach algebra. In this paper we investigate derivations and multipliers of A ×θ U and study the automatic continuity of these maps. We also study continuity of the derivations for some special cases of U and the Banach (A ×θ U)-bimodule X and establish various results in this respect. Some of the results are devoted to find conditions under which one can represent a derivation on A ×θ U as sum of two derivations in such a way that one of them is continuous. Some examples are also given
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پژوهشگران
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اقبال قادری (نفر دوم)، حمید فرهادی (نفر اول)
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