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)

2 Citations (Scopus)

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

Cite this

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title = "On norms in indefinite product spaces",

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.",

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author = "M. Langer and A. Luger",

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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

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Fingerprint

Spectral Theory of Block Operator Matrices

Cite this

On norms in indefinite product spaces

Abstract

Publication series

Keywords

Access to Document

Other files and links

Fingerprint

Projects

Spectral Theory of Block Operator Matrices

Cite this