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Closability of Module σ−Derivatoins
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نویسنده
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Mosadeq Maysam ,Hassani Mahmoud ,Niknam Assadollah
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منبع
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journal of mathematical extension - 2012 - دوره : 6 - شماره : 1 - صفحه:57 -69
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چکیده
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Let σ be a linear mapping from a dense subalgebra a of a banach algebra b into b. in this note, we study the closability of a module σ - derivation б from a into a b. bimodule m. applying the notions of torsion-free modules and essential ideals, we present several results concerning the closability of such derivations. also we investigate the closability of module σ - derivations of the c *- algebra b into a hilbert b. bimodule m.
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کلیدواژه
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(σ-) Derivation ,deficiency indices ,relative boundedness ,simple module ,torsion-free module ,essential ideal ,Hilbert C*- module.
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آدرس
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islamic azad university, Faculty of Sciences, Department of Mathematics, ایران, islamic azad university, Faculty of Sciences, Department of Mathematics, ایران, ferdowsi university of mashhad, Faculty of Mathematical Sciences and Center of Excellencein Analysis on Algebraic Structures (CEAAS), Department of Mathematics, ایران
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پست الکترونیکی
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dassamankin@yahoo.co.uk.
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Authors
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