On norms in indefinite inner product spaces
(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:
https://lup.lub.lu.se/record/316e16d0-ae09-47da-9086-9f882648650e
- author
- Langer, Matthias and Luger, Annemarie LU
- organization
- publishing date
- 2010
- 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}}, }