Compressed resolvents, Q-functions and h0-resolvents in almost Pontryagin spaces

Henk de Snoo*, Harald Woracek

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapterAcademicpeer-review

1 Citation (Scopus)

Abstract

The interest of this paper lies in the selfadjoint extensions of a symmetric relation in an almost Pontryagin space. More in particular, in their compressed resolvents, Q-functions and h0-resolvents. We give a systematic approach to each of this three topics, and show an intimate connection between the last two.

Original languageEnglish
Title of host publicationIndefinite Inner ProductSpaces, Schur Analysis,and Differential Equations
Subtitle of host publicationA Volume Dedicated to Heinz Langer
EditorsDaniel Alpay, Bernd Kirstein
Place of PublicationCham
PublisherSpringer International Publishing
Pages425-484
Number of pages60
ISBN (Print) 978-3-319-68848-0, 978-3-319-68849-7
DOIs
Publication statusPublished - 1-Jan-2018

Publication series

NameOperator Theory: Advances and Applications
Volume263
ISSN (Print)0255-0156
ISSN (Electronic)2296-4878

Keywords

  • Almost Pontryagin space
  • Compressed resolvent
  • h-resolvent
  • Q-function
  • Selfadjoint extension
  • Symmetric relation

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