Canonical decomposition of dissipative linear relations
Functional Analysis
2023-08-15 v3 Mathematical Physics
math.MP
Abstract
On the basis of Sz. Nagy-Foia\c{s}-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.
Cite
@article{arxiv.1805.12530,
title = {Canonical decomposition of dissipative linear relations},
author = {Josué I. Rios-Cangas},
journal= {arXiv preprint arXiv:1805.12530},
year = {2023}
}
Comments
19 pages