ACTA UNIVERSITATIS APULENSIS No 19/2009 ON PRECOMPACT MULTIPLICATION OPERATORS ON WEIGHTED FUNCTION SPACES

نویسندگان

  • Hamed H. Alsulami
  • Saud M. Alsulami
  • Liaqat Ali Khan
چکیده

Let X be a completely regular Hausdorff space, E a Hausdorff topological vector space, CL(E) the algebra of continuous operators on E, V a Nachbin family on X and F ⊆ CVb(X,E) a topological vector space (for a given topology). If π : X → CL(E) is a mapping, consider the induced multiplication operator Mπ : F → F given by Mπ(f)(x) := π(x)f(x), f ∈ G, x ∈ coz(F). In this paper we give necessary and sufficient conditions for the induced linear mapping Mπ to be (1) an equicontinuous operator, (2) a precompact operator and (3) a bounded operator on a subspace F of CVb(X,E) in the non-locally convex setting. 2000 Mathematics Subject Classification: 47B38, 46E40, 46A16

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

ACTA UNIVERSITATIS APULENSIS No 18/2009 MULTIPLICATION OPERATORS ON NON-LOCALLY CONVEX WEIGHTED FUNCTION SPACES

Let X be a completely regular Hausdorff space, E a Hausdorff topological vector space, CL(E) the algebra of continuous operators on E, V a Nachbin family on X and F ⊆ CVb(X,E) a topological vector space (for a given topology). If π : X → CL(E) is a mapping and f ∈ F , let Mπ(f)(x) := π(x)f(x). In this paper we give necessary and sufficient conditions for the induced linear mapping Mπ to be a mu...

متن کامل

ACTA UNIVERSITATIS APULENSIS No 19/2009 ON CLOSE-TO-CONVEX FOR CERTAIN INTEGRAL OPERATORS

In this paper, we consider some sufficient conditions for two integral operators to be close-to-convex function defined in the open unit disk.

متن کامل

ACTA UNIVERSITATIS APULENSIS No 19/2009 BOUNDEDNESS FOR MULTILINEAR COMMUTATOR OF LITTLEWOOD-PALEY OPERATOR ON HARDY AND HERZ-HARDY SPACES

In this paper, the (H ~b , L p) and (HK̇ q,~b , K̇ q ) type boundedness for the multilinear commutator associated with the Littlewood-paley operator are obtained.

متن کامل

ACTA UNIVERSITATIS APULENSIS No 17/2009 ABOUT SOME BIVARIATE OPERATORS OF STANCU TYPE

In this paper, we will obtain a form of Bernstein-Stancu bivariate operators and finally we will give an approximation theorem for them. 2000 Mathematics Subject Classification: 41A10, 41A25, 41A36, 41A63.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2009