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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
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
keywords
Indefinite inner product, Krein space, Pontryagin space
in
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
external identifiers
  • scopus:84958969188
ISSN
02550156
22964878
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    = {Operator Theory: Advances and Applications},
  isbn         = {9783034601795},
  issn         = {02550156},
  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},
}