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Department of Mathematics

Department of Mathematics

 

Recent Submissions

  • 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 ...
  • 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 ...
  • 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 ...
  • 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. ...
  • 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 ...
  • د.عبدالله, خليفة سعيد علي البركي (جامعة بنغازي, 2012-12-11)
    The concept of a 2-metric space was introduced by S. Gabler [3], Recently the 2-metric spaces has been developed extensively in different subjects by others, for example [5], [6] and [7]. Definition 1.1. Let F be a function ...
  • د.عبدالله, خليفة سعيد علي البركي (جامعة بنغازي, 1999-08-18)
    Throughout this paper, all algebras are considered over the complex field C. We discuss the normality of a normed space D(K,M), where K is a perfect, compact subset of C and M (MA)nzo is a sequence of positive numbers. It ...
  • دعبدالله, خليفة سعيد علي البركي (جامعة بنغازي, 2025-06-08)
    Assume X is a compact space. It is possible to construct some different uniform algebras on X. In this paper, we investigate three kinds of related uniform algebras on compact space X. They are normal, have bounded relative ...
  • دعبدالله, خليفة سعيد علي البركي (جامعة بنغازي, 2025-06-08)
    Let A be a uniform algebra on a compact space X and F be a subset of A. Let A be F - extension of A. Then A is a root extension of A . In this paper, we give a study of properties of root extensions.
  • دعبدالله, خليفة سعيد علي البركي (جامعة بنغازي, 2025-06-08)
    في هذا البحث نقدم نوعين من الدوال الخطية على جبر بناخ Banach algebra A الدالة الأولى تسمى الدالة المميزة character mapping و الدالة الثانية تسمى الدالة المقدرة evaluation mapping . سوف نستعرض بعضا من خواص هذه الدوال في ...
  • دعبدالله, خليفة سعيد علي البركي (جامعة بنغازي, 2006-01-01)
    In this paper, we give two sequences of positive numbers (M)=0 which are algebra sequences and logarithmically convex sequences. Also, we give two spaces of infinitely differentiable functions C(M) and E (2,M) which are ...
  • دعبدالله, خليفة سعيد علي البركي (جامعة بنغازي, 2009-04-01)
    Let T be a function from a non-empty set X into itself such that Tx=x. Then x in X is a fixed point of T. In this paper, we give the generalized of Sehgal Theorem in the area of uniqueness of fixed points in the case of ...
  • Mamat, Mustafa; Bashir, Muatazz Abdolhadi (University of Benghazi, 2016-11-05)
  • Badi, Nuri H. Salem (University of Benghazi, 2017-06-12)
  • Abdolhadi, Muatazz; Bashir, Muatazz Abdolhadi (University of Benghazi, 2016-11-05)
  • Alhamaly, Eman Ibrahim; Din Khan, Mohammad (University of Benghazi, 2011)
  • Ali, Amal; Ali, Abdullah K. S. (University of Benghazi, 2016)
  • Ali, Wafa Omar; Al-Awami, Mohamed (University of Benghazi, 2012)

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