Compressions of maximal dissipative and self-adjoint linear relations and of dilations Dedicated to Harm Bart - A fine colleague and good friend.

T. Ya Azizov, A. Dijksma, G. Wanjala

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

In this paper we generalize results from Stenger (1968) [30], Nudelman (2011) [28] and Azizov and Dijksma (2012) [7] to maximal dissipative and self-adjoint linear relations and discuss related results for nonnegative self-adjoint extensions of nonnegative symmetric linear relations and self-adjoint dilations of maximal dissipative linear relations.

Original languageEnglish
Pages (from-to)771-792
Number of pages22
JournalLinear Algebra and Its Applications
Volume439
Issue number3
DOIs
Publication statusPublished - Aug 1 2013

Keywords

  • Codimension
  • Compression
  • Dilation
  • Dissipative
  • Hilbert space
  • Krein space
  • Linear relation
  • Maximal dissipative
  • Reproducing kernel
  • Self-adjoint
  • Symmetric

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Discrete Mathematics and Combinatorics
  • Geometry and Topology
  • Numerical Analysis

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