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On Operators with Spectral Square but without Resolvent Points

Published online by Cambridge University Press:  20 November 2018

Paul Binding  and
Vladimir Strauss
Paul Binding
Affiliation:
Department of Mathematics and Statistics, University of Calgary, Calgary, AB e-mail: binding@ucalgary.ca
Vladimir Strauss
Affiliation:
Department of Pure and Applied Mathematics, Simón Bolívar University, Caracas, Venezuela e-mail: str@usb.ve
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Abstract

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Decompositions of spectral type are obtained for closed Hilbert space operators with empty resolvent set, but whose square has closure which is spectral. Krein space situations are also discussed.

Keywords

47A0547A1547B4047B5046C20unbounded operatorsclosed operatorsspectral resolutionindefinite metric
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 57 , Issue 1 , 01 February 2005 , pp. 61 - 81
Copyright
Copyright © Canadian Mathematical Society 2005

References

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