Directing Mappings in Krein Spaces

Textorius, Björn

doi:10.1007/3-7643-7516-7_15

Björn Textorius³³

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 163))

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Abstract

M.G. Krein’s method of directing mappings is extended to quasidensely defined symmetric operators with selfadjoint definitizable extensions in some Krein space, by direct use of the spectral function of the extension, thus avoiding a reduction to the semidefinite situation.

To Heinz Langer on the occasion of his retirement.

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Linköping University, SE 58183, Linköping, Sweden
Björn Textorius

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Björn Textorius
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Department of Mathematics, University of Strathclyde, 26 Richmond Street, Glasgow, G1 1XH, UK
Matthias Langer
Institut für Analysis und Scientific Computing, Technische Universität Wien, Wiedner Hauptstrasse 8-10 / 101, 1040, Wien, Austria
Annemarie Luger & Harald Woracek &

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Textorius, B. (2005). Directing Mappings in Krein Spaces. In: Langer, M., Luger, A., Woracek, H. (eds) Operator Theory and Indefinite Inner Product Spaces. Operator Theory: Advances and Applications, vol 163. Birkhäuser Basel. https://doi.org/10.1007/3-7643-7516-7_15

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DOI: https://doi.org/10.1007/3-7643-7516-7_15
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-7643-7515-7
Online ISBN: 978-3-7643-7516-4
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