مشخصات پژوهش

عنوان	Generalizations of some classical theorems to D-normal operators on Hilbert spaces‎
نوع پژوهش	مقاله چاپ‌شده در مجلات علمی
کلیدواژه‌ها	Drazin inverse; D-normal operator; Fuglede-Putnam theorem; Bishop’s property‎.
چکیده	‎We say that a Drazin invertible operator $T$ on Hilbert space is of class $[DN]$ if $T^{D}T^* = T^{*}T^{D}.$ The authors in \cite{Dana} studied several properties of such class‎. ‎We prove a Fuglede-Putnam commutativity theorem for D-normal operators‎. ‎Also‎, ‎we show that $T$ has the Bishop's property $(\beta)$‎. ‎Finally‎, ‎we generalize a very famous result‎ ‎on products of normal operators‎, ‎due to I‎. ‎Kaplansky to D-normal matrices‎.
پژوهشگران	رامش یوسفی (نفر دوم)، منصور دانا (نفر اول)