On norms in indefinite product spaces

M. Langer, A. Luger

Research output: Chapter in Book/Report/Conference proceedingChapter (peer-reviewed)

Abstract

In a Krein space various norms can be defined by choosing different underlying fundamental decompositions. In this note we consider this dependence explicitly and draw the conclusion that - even in a Pontryagin space - there does not exist a natural choice motivated by minimizing properties.
Original languageEnglish
Title of host publicationRecent Advances in Operator Theory in Hilbert and Krein Spaces
EditorsJussi Behrndt, Karl-Heinz Förster, Carsten Trunk
Pages259-264
Number of pages6
Volume198
DOIs
Publication statusPublished - 2010

Publication series

NameOperator Theory: Advances and Applications
PublisherBirkhäuser

Keywords

  • krein space
  • pontryagin space
  • indefinite inner product

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