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  • THE BEURLING AND CAUCHY TRANSFORM WITH NEW SPACES 
    د.عبدالله, خليفة سعيد علي البركي (جامعة بنغازي, 2005-01-03)
    Let X be a compact plane set. Then R(X) is the uniform algebra of all continuous functions on X which may be uniformly approximated on X by rational functions with poles off X. Some results which contain the Beuring and ...
  • Some Results in Bounded Relative Units Uniform 
    د.عبدالله, خليفة سعيد علي البركي (جامعة بنغازي, 2008-03-01)
    In this paper, we shall study bounded relative unit uniform algebras on compact spaces. We look at certain types of extensions of uniform algebras. We prove that under certain conditions some extensions of some uniform ...
  • ROOT EXTENSIONS OF DITKIN ALGEBRA 
    د.عبدالله, خليفة سعيد علي البركي (جامعة بنغازي, 2007-03-21)
    Let us start with some standard definitions. Definition 1.1. Let S be a non-empty set, and let ƒ be a bounded, complex-valued function on S. For each non-empty set E contained in S, the uniform norm off on E, denoted by ...
  • RESULT ON THE SPACE 
    د.عبدالله, خليفة سعيد علي البركي (جامعة بنغازي, 2007-03-11)
    In this paper, we introduce a special space D(K,r,M,) of infinitely differentiable functions on K. We have proved Ro(K) CD(K,r,M,) if and only if (M) is a non-analytic sequence. We start with some standard definitions. ...
  • PROBLEMS CONCERNING THIN SYSTEMS 
    د.عبدالله, خليفة سعيد علي البركي (2001-05-22)
    In this paper, we introduce and discuss the concept of thin system in the area of uniform albegras. Let X bea compact subset of C and let C(X) be the set of all continuous functions from X into C. Then Ro(X) is the set of ...

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