On norms in indefinite product spaces

Langer, M. and Luger, A.; Behrndt, Jussi and Förster, Karl-Heinz and Trunk, Carsten, eds. (2010) On norms in indefinite product spaces. In: Recent Advances in Operator Theory in Hilbert and Krein Spaces. Operator Theory: Advances and Applications, 198 . Birkhäuser, pp. 259-264. ISBN 978-3-0346-0179-5 (https://doi.org/10.1007/978-3-0346-0180-1_14)

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.

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• Item metadata

  Item type:	Book Section
  ID code:	13638
  Dates:	Date Event 2010 Published
  Subjects:	Science > Mathematics
  Department:	Faculty of Science > Mathematics and Statistics
  Depositing user:	Mrs Carolynne Westwood
  Date deposited:	08 Jan 2010 14:53
  Last modified:	08 Apr 2024 12:34
  Related URLs:	Journal or Publication
  URI:	https://strathprints.strath.ac.uk/id/eprint/13638