Browsing Mathematics (MA) by Subject "Hilbert Space"

Now showing items 1-4 of 4

    • Analytic Models, Dilations, Wandering Subspaces and Inner Functions 

      Bhattacharjee, Monojit
      This thesis concerns dilation theory, analytic models, joint invariant subspaces, reproducing kernelHilbert spaces and multipliers associated to commuting tuples of bounded linear operators on Hilbert spaces. The main ...

    • Dilations, Functoinal Model And A Complete Unitary Invariant Of A r-contraction. 

      Pal, Sourav (2013-08-02)
      A pair of commuting bounded operators (S, P) for which the set r = {(z 1 +z 2,z 1z 2) : |z 1| ≤1, |z 2| ≤1} C2 is a spectral set, is called a r-contraction in the literature. For a contraction P and a bounded commutant ...

    • Infinitely Divisible Metrics, Curvature Inequalities And Curvature Formulae 

      Keshari, Dinesh Kumar (2014-06-30)
      The curvature of a contraction T in the Cowen-Douglas class is bounded above by the curvature of the backward shift operator. However, in general, an operator satisfying the curvature inequality need not be contractive. ...

    • An Introduction to Minimal Surfaces 

      Ram Mohan, Devang S (2017-12-10)
      In the first chapter of this report, our aim is to introduce harmonic maps between Riemann surfaces using the Energy integral of a map. Once we have the desired prerequisites, we move on to show how to continuously deform ...