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On the Continuity of Some Linear Maps on Certain Banach Algebras
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نویسنده
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Farhadi H. ,Ghaderi E.
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منبع
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Journal Of Linear And Topological Algebra - 2022 - دوره : 11 - شماره : 2 - صفحه:109 -122
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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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کلیدواژه
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Lau Product ,Derivation ,Multiplier ,Automatic Continuity
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آدرس
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University Of Kurdistan, Department Of Mathematics, Iran, University Of Kurdistan, Department Of Mathematics, Iran
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پست الکترونیکی
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eg.ghaderi@uok.ac.ir
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Authors
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