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arXiv · 1805.12530

Canonical decomposition of dissipative linear relations

Josué I. Rios-Cangas
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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.

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Josué I. Rios-Cangas. 2018-05-29. Canonical decomposition of dissipative linear relations. https://doi.org/10.7153/oam-2021-15-95

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