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.
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

Fingerprint

Pontryagin Space
Krein Space
Product Space
Norm
Decompose

Keywords

  • krein space
  • pontryagin space
  • indefinite inner product

Cite this

Langer, M., & Luger, A. (2010). On norms in indefinite product spaces. In J. Behrndt, K-H. Förster, & C. Trunk (Eds.), Recent Advances in Operator Theory in Hilbert and Krein Spaces (Vol. 198, pp. 259-264). (Operator Theory: Advances and Applications). https://doi.org/10.1007/978-3-0346-0180-1_14
Langer, M. ; Luger, A. / On norms in indefinite product spaces. Recent Advances in Operator Theory in Hilbert and Krein Spaces. editor / Jussi Behrndt ; Karl-Heinz Förster ; Carsten Trunk. Vol. 198 2010. pp. 259-264 (Operator Theory: Advances and Applications).
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Langer, M & Luger, A 2010, On norms in indefinite product spaces. in J Behrndt, K-H Förster & C Trunk (eds), Recent Advances in Operator Theory in Hilbert and Krein Spaces. vol. 198, Operator Theory: Advances and Applications, pp. 259-264. https://doi.org/10.1007/978-3-0346-0180-1_14

On norms in indefinite product spaces. / Langer, M.; Luger, A.

Recent Advances in Operator Theory in Hilbert and Krein Spaces. ed. / Jussi Behrndt; Karl-Heinz Förster; Carsten Trunk. Vol. 198 2010. p. 259-264 (Operator Theory: Advances and Applications).

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

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AU - Luger, A.

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KW - indefinite inner product

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Langer M, Luger A. On norms in indefinite product spaces. In Behrndt J, Förster K-H, Trunk C, editors, Recent Advances in Operator Theory in Hilbert and Krein Spaces. Vol. 198. 2010. p. 259-264. (Operator Theory: Advances and Applications). https://doi.org/10.1007/978-3-0346-0180-1_14