مشخصات پژوهش

صفحه نخست /The first cohomology group of ...
عنوان The first cohomology group of some operator algebras on Hilbert C*-modules
نوع پژوهش مقاله چاپ‌شده در مجلات علمی
کلیدواژه‌ها Hilbert C∗-module, operator algebra, derivation, first (continuous) cohomology group.
چکیده 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.
پژوهشگران سامان ستاری (نفر دوم)، هوگر قهرمانی (نفر اول)