Now showing items 1-6 of 6

    • Dilations of some VH-spaces operator valued invariant Kernels 

      Gheondea, A. (Springer, 2012)
      We investigate VH-spaces (Vector Hilbert spaces, or Loynes spaces) operator valued Hermitian kernels that are invariant under actions of *-semigroups from the point of view of generation of *-representations, linearizations ...
    • Harmonic Besov spaces on the ball 

      Gergün, S.; Kaptanoğlu, H. T.; Üreyen, A. E. (World Scientific Publishing, 2016)
      We initiate a detailed study of two-parameter Besov spaces on the unit ball of ℝn consisting of harmonic functions whose sufficiently high-order radial derivatives lie in harmonic Bergman spaces. We compute the reproducing ...
    • Invariant weakly positive semidefinite kernels with values in topologically ordered ∗-spaces 

      Ay, Serdar; Gheondea, Aurelian (Instytut Matematyczny PAN, 2019)
      We consider weakly positive semidefinite kernels valued in ordered ∗-spaces with or without certain topological properties, and investigate their linearisations (Kolmogorov decompositions) as well as their reproducing ...
    • Operator models for hilbert locally c*-modules 

      Gheondea, A. (Element D.O.O., 2017)
      We single out the concept of concrete Hilbert module over a locally C*-algebra by means of locally bounded operators on certain strictly inductive limits of Hilbert spaces. Using this concept, we construct an operator model ...
    • Representations of ∗-semigroups associated to invariant kernels with values adjointable operators 

      Ay, S.; Gheondea, A. (Elsevier, 2015)
      We consider positive semidefinite kernels valued in the ∗-algebra of adjointable operators on a VE-space (Vector Euclidean space) and that are invariant under actions of ∗-semigroups. A rather general dilation theorem is ...
    • Reproducing kernel Hilbert spaces 

      Okutmuştur, Baver (Bilkent University, 2005)
      In this thesis we make a survey of the theory of reproducing kernel Hilbert spaces associated with positive definite kernels and we illustrate their applications for interpolation problems of Nevanlinna-Pick type. Firstly ...