01 تیر 1403
بهمن حياتي

بهمن حیاتی

مرتبه علمی: استادیار
نشانی:
تحصیلات: دکترای تخصصی / ریاضی-آنالیز
تلفن:
دانشکده: دانشکده علوم ریاضی و آمار

مشخصات پژوهش

عنوان
Completely continuous Banach algebras
نوع پژوهش مقاله چاپ شده
کلیدواژه‌ها
Amenability, Completely continuous, Banach algebra
سال
2016
مجله International Journal Of Nonlinear Analysis And Applications
پژوهشگران بهمن حیاتی

چکیده

For a Banach algebra A, we introduce c:c(A), the set of all  2 A such that  : A ! A is a completely continuous operator, where  is de ned by (a) = a   for all a 2 A. We call A, a completely continuous Banach algebra if c:c(A) = A. We give some examples of completely continuous Banach algebras and a sucient condition for an open problem raised for the rst time by J.E Gale, T.J. Ransford and M. C. White: Is there exist an in nite dimensional amenable Banach algebra whose underlying Banach space is re exive? We prove that a re exive, amenable, completely continuous Banach algebra with the approximation property is trivial.