paper

Canonical decomposition of dissipative linear relations

arXiv:1805.12530 · doi:10.7153/oam-2021-15-95

Abstract

On the basis of Sz. Nagy-Foiaş-Langer and von Neumann-Wold decompositions, two decompositions for dissipative linear relations are given and they are realized by transforming invariant subspaces for contractions, by means of the Z transform. These decompositions permit the separation of the selfadjoint and completely nonselfadjoint parts of a dissipative relation.

19 pages

References in corpus (4)