مشخصات پژوهش

عنوان	Automatic Continuity of Almost Multiplicative Linear Functional on Frechet algebras
نوع پژوهش	مقاله چاپ‌شده در مجله
کلیدواژه‌ها	multiplicative maps (homomorphisms), almost multiplicative maps, almost multiplicative linear functionals, automatic continuity, Frechet algebras, Q-algebras.
چکیده	A linear functional T on a Frechet algebra (A, (p_n)) is called almost multiplicative with respect to the sequence (pn), if there exists " epsilon >=0 such that |Tab − TaTb| <= p_n((a))p_n((b)) for all n in N and for every a, b in A. We show that an almost multiplicative linear functional on a Frechet algebra is either multiplicative or it is continuous, and hence every almost multiplicative linear functional on a functionally continuous Frechet algebra is continuous.
پژوهشگران	طاهر قاسمی هنری (نفر اول)، محمد رضا امیدی (نفر دوم)، امیر حسین صنعت پور (نفر سوم)