Boundary Relations and Generalized Resolvents of Symmetric Operators in Krein Spaces

@inproceedings{Behrndt2006BoundaryRA,
title={Boundary Relations and Generalized Resolvents of Symmetric Operators in Krein Spaces},
author={Jussi Behrndt and Hans-Christian Kreusler},
year={2006}
}

The classical Krein-Naimark formula establishes a one-to-one correspondence between the generalized resolvents of a closed symmetric operator in a Hilbert space and the class of Nevanlinna families in a parameter space. Recently it was shown by V.A. Derkach, S. Hassi, M.M. Malamud and H.S.V. de Snoo that these parameter families can be interpreted as so-called Weyl families of boundary relations, and a new proof of the Krein-Naimark formula in the Hilbert space setting was given with the help… CONTINUE READING