Now showing items 1-4 of 4

    • Bases in banach spaces of smooth functions on cantor-type sets 

      Özfidan, Necip (Bilkent University, 2013)
      We construct Schauder bases in the spaces of continuous functions C p (K) and in the Whitney spaces E p (K) where K is a Cantor-type set. Here different Cantortype sets are considered. In the construction, local ...
    • Bases in some spaces of Whitney functions 

      Goncharov, A.; Ural, Z. (Duke University Press, 2017-06-29)
      We construct topological bases in spaces of Whitney functions on Cantor sets, which were introduced by the first author. By means of suitable individual extensions of basis elements, we construct a linear continuous exten- ...
    • Existence of basis in some Whitney spaces 

      Keşir, Mustafa (Bilkent University, 2003)
      Existence of basis in locally convex spaces has been a hot subject in functional analysis for more than 40 years. We will give some partial solutions to this well-known problem. We will demonstrate two cases of Cantor-type ...
    • Logarithmic dimension and bases in whitney spaces 

      Şengül, Yasemin (Bilkent University, 2006)
      In generalization of [3] we will give the formula for the logarithmic dimension of any Cantor-type set. We will demonstrate some applications of the logarithmic dimension in Potential Theory. We will construct a polynomial ...