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On norms in indefinite inner product spaces

Langer, Matthias and Luger, Annemarie LU (2010) 7th Workshop on Operator Theory in Krein Spaces and Spectral Analysis, 2007 In Operator Theory: Advances and Applications 198. p.259-264
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.

Please use this url to cite or link to this publication:
author
and
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
keywords
Indefinite inner product, Krein space, Pontryagin space
host publication
Recent Advances in Operator Theory in Hilbert and Krein Spaces
series title
Operator Theory: Advances and Applications
volume
198
pages
6 pages
publisher
Springer International Publishing
conference name
7th Workshop on Operator Theory in Krein Spaces and Spectral Analysis, 2007
conference location
Berlin, Germany
conference dates
2007-12-13 - 2007-12-16
external identifiers
  • scopus:84958969188
ISSN
22964878
02550156
ISBN
9783034601795
language
English
LU publication?
yes
id
316e16d0-ae09-47da-9086-9f882648650e
date added to LUP
2016-09-26 13:50:59
date last changed
2024-01-04 13:15:20
@inproceedings{316e16d0-ae09-47da-9086-9f882648650e,
  abstract     = {{<p>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.</p>}},
  author       = {{Langer, Matthias and Luger, Annemarie}},
  booktitle    = {{Recent Advances in Operator Theory in Hilbert and Krein Spaces}},
  isbn         = {{9783034601795}},
  issn         = {{22964878}},
  keywords     = {{Indefinite inner product; Krein space; Pontryagin space}},
  language     = {{eng}},
  pages        = {{259--264}},
  publisher    = {{Springer International Publishing}},
  series       = {{Operator Theory: Advances and Applications}},
  title        = {{On norms in indefinite inner product spaces}},
  volume       = {{198}},
  year         = {{2010}},
}