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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.
Original language | English |
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Title of host publication | Recent Advances in Operator Theory in Hilbert and Krein Spaces |
Editors | Jussi Behrndt, Karl-Heinz Förster, Carsten Trunk |
Pages | 259-264 |
Number of pages | 6 |
Volume | 198 |
DOIs | |
Publication status | Published - 2010 |
Publication series
Name | Operator Theory: Advances and Applications |
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Publisher | Birkhäuser |
Keywords
- krein space
- pontryagin space
- indefinite inner product
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Dive into the research topics of 'On norms in indefinite product spaces'. Together they form a unique fingerprint.Projects
- 1 Finished
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Spectral Theory of Block Operator Matrices
Langer, M. (Principal Investigator)
EPSRC (Engineering and Physical Sciences Research Council)
1/09/07 → 30/11/09
Project: Research