On a class of model hilbert spaces

Academic Article


  • A detailed description of the model Hilbert space L2(R; d;K), where K represents a complex, separable Hilbert space, and denotes a bounded operator-valued measure, is provided. In particular, we show that several alternative approaches to such a construction in the literature are equivalent. These spaces are of fundamental importance in the context of perturbation theory of self-adjoint extensions of symmetric operators, and the spectral theory of ordinary differential operators with operator-valued coefficients.
  • Authors

    Digital Object Identifier (doi)

    Author List

  • Gesztesy F; Weikard R; Zinchenko M
  • Start Page

  • 5067
  • End Page

  • 5088
  • Volume

  • 33
  • Issue

  • 11-12