مشخصات پژوهش

عنوان	Ideal submodules and topologicallycomplementable submodules of Hilbert C*-modules
نوع پژوهش	مقاله چاپ‌شده در مجلات علمی
کلیدواژه‌ها	Ideal submodule; topologically complementable submodule; orthogonally complementable submodule; Hilbert C∗-module
چکیده	In this paper, we study the relationship between the ideal submodules and the topologically complementable submodules of a Hilbert C∗-module. We derive new characterizations and properties for ideal submodules and apply them to provide the conditions under which the topologically complementable submodules are ideal submodules or ideal submodules are topologically complementable submodules. Especially, we show that an ideal submodule in a full Hilbert C∗-module is topologically complementable if and only if it is orthogonally complementable and in this case the orthogonal complement is the unique topological complement for it.
پژوهشگران	سامان ستاری (نفر دوم)، هوگر قهرمانی (نفر اول)