On norms in indefinite product spaces

M. Langer; A. Luger

doi:10.1007/978-3-0346-0180-1_14

On norms in indefinite product spaces

M. Langer, A. Luger

Mathematics And Statistics

Research output: Chapter in Book/Report/Conference proceeding › Chapter (peer-reviewed)

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
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	https://doi.org/10.1007/978-3-0346-0180-1_14
Publication status	Published - 2010

Publication series

Name	Operator Theory: Advances and Applications
Publisher	Birkhäuser

Keywords

krein space
pontryagin space
indefinite inner product

Access to Document

10.1007/978-3-0346-0180-1_14

http://www.springer.com/birkhauser/mathematics/book/978-3-0346-0179-5?detailsPage=toc

1 Finished

Spectral Theory of Block Operator Matrices
Langer, M.
EPSRC (Engineering and Physical Sciences Research Council)
1/09/07 → 30/11/09
Project: Research

Cite this

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title = "On norms in indefinite product spaces",

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T1 - On norms in indefinite product spaces

AU - Langer, M.

AU - Luger, A.

PY - 2010

Y1 - 2010

N2 - 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.

AB - 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.

KW - krein space

KW - pontryagin space

KW - indefinite inner product

UR - http://www.springer.com/birkhauser/mathematics/book/978-3-0346-0179-5?detailsPage=toc

U2 - 10.1007/978-3-0346-0180-1_14

DO - 10.1007/978-3-0346-0180-1_14

M3 - Chapter (peer-reviewed)

SN - 978-3-0346-0179-5

VL - 198

T3 - Operator Theory: Advances and Applications

SP - 259

EP - 264

BT - Recent Advances in Operator Theory in Hilbert and Krein Spaces

A2 - Behrndt, Jussi

A2 - Förster, Karl-Heinz

A2 - Trunk, Carsten

ER -

On norms in indefinite product spaces

Abstract

Publication series

Keywords

Access to Document

Spectral Theory of Block Operator Matrices

Cite this