Now showing items 1-7 of 7

    • Applications of duality for Hp spaces 

      Yapıcı, Eser (Bilkent University, 2006)
    • Complete positivity in operator algebras 

      Kavruk, Ali Şamil (Bilkent University, 2006)
      In this thesis we survey positive and completely positive maps defined on operator systems. In Chapter 3 we study the properties of positive maps as well as construction of positive maps under certain conditions. In ...
    • Dilation theorems for VH-spaces 

      Uğurcan, Barış Evren (Bilkent University, 2009)
      In the Appendix of the book Le¸cons d’analyse fonctionnelle by F. Riesz and B. Sz.-Nagy, B. Sz.-Nagy [15] proved an important theorem on operator valued positive definite maps on ∗-semigroups, which today can be considered ...
    • Lebesgue-radon-nikodym decompositions for operator valued completely positice maps 

      Danış, Bekir (Bilkent University, 2014)
      We discuss the notion of Radon-Nikodym derivatives for operator valued completely positive maps on C*-algebras, first introduced by Arveson [1969], and the notion of absolute continuity for completely positive maps, ...
    • A measure disintegration approach to spectral multiplicity for normal operators 

      Ay, Serdar (Bilkent University, 2012)
      In this thesis we studied the notion of direct integral Hilbert spaces, first introduced by J. von Neumann, and the closely related notion of decomposable operators, as defined in Kadison and Ringrose [1997] and Abrahamse ...
    • 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 ...
    • Some criteria of selfadjointness for unbounded operators in Hilbert spaces 

      Özkaraca, Mustafa İsmail (Bilkent University, 2013)
      This is a detailed presentation of some criteria of selfadjointness for unbounded operators in a Hilbert space, through operator Cauchy problems. We also include detailed preliminary results on unbounded linear operators ...