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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 Recent Advances in Operator Theory in Hilbert and Krein Spaces 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
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
keywords
Indefinite inner product, Krein space, Pontryagin space
in
Recent Advances in Operator Theory in Hilbert and Krein Spaces
volume
198
pages
6 pages
publisher
Springer International Publishing
conference name
7th Workshop on Operator Theory in Krein Spaces and Spectral Analysis, 2007
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
2017-01-01 08:35:12
@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},
  keyword      = {Indefinite inner product,Krein space,Pontryagin space},
  language     = {eng},
  pages        = {259--264},
  publisher    = {Springer International Publishing},
  title        = {On norms in indefinite inner product spaces},
  volume       = {198},
  year         = {2010},
}