A canonical decomposition for linear operators and linear relations

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

An arbitrary linear relation (multivalued operator) acting from one Hilbert space to another Hilbert space is shown to be the sum of a closable operator and a singular relation whose closure is the Cartesian product of closed subspaces. This decomposition can be seen as an analog of the Lebesgue decomposition of a measure into a regular part and a singular part. The two parts of a relation are characterized metrically and in terms of Stone's characteristic projection onto the closure of the linear relation.
to appear in Acta Math. Hungarica, volume 116(1-2)

Keywords

Functional Analysis, Mathematical Physics, 47A05, 47A06

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/119114

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0611045
 http://arxiv.org/abs/math/0611045

Collections

arXiv