عنوان
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The first cohomology group of some operator algebras on Hilbert C*-modules
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نوع پژوهش
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مقاله چاپشده در مجلات علمی
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کلیدواژهها
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Hilbert C∗-module, operator algebra, derivation, first (continuous) cohomology group.
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چکیده
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Let X be a Hilbert C∗-module over a C∗-algebra B. In this paper we introduce two classes of operator algebras on the Hilbert C∗-module X called operator algebras with property K and operator algebras with property Z, and we study the first (continuous) cohomology group of them with coefficients in various Banach bimodules under several conditions on B and X. Some of our results generalize the previous results. Also we investigate some properties of these classes of operator algebras.
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پژوهشگران
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سامان ستاری (نفر دوم)، هوگر قهرمانی (نفر اول)
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