English

Caratheodory-Fejer interpolation and related topics in locally convex spaces

Functional Analysis 2007-07-06 v1 Complex Variables

Abstract

We study Caratheodory-Herglotz functions whose values are continuous operators from a locally convex topological space which admits the factorization property into its conjugate dual space. We show how this case can be reduced to the case of functions whose values are bounded operators from a Hilbert space into itself.

Keywords

Cite

@article{arxiv.0707.0774,
  title  = {Caratheodory-Fejer interpolation and related topics in locally convex spaces},
  author = {Daniel Alpay and Olga Timoshenko and Dan Volok},
  journal= {arXiv preprint arXiv:0707.0774},
  year   = {2007}
}