Proceedings of the American Mathematical Society

Author(s): Zoltán Sebestyén; Jan Stochel
Journal: Proc. Amer. Math. Soc. 135 (2007), 1389-1397.
MSC (2000): Primary 47A20, 47B25; Secondary 47A63
Posted: October 27, 2006
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Abstract: The set of all positive selfadjoint extensions of a positive operator

(which is not assumed to be densely defined) is described with the help of the partial order which is relevant to the theory of quadratic forms. This enables us to improve and extend a result of M. G. Krein to the case of not necessarily densely defined operators

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 47A20, 47B25, 47A63

Zoltán Sebestyén
Affiliation: Department of Applied Analysis, Eötvös L. University, Pázmány Péter sétány 1/c., Budapest H-1117, Hungary
Email: sebesty@cs.elte.hu

Jan Stochel
Affiliation: Instytut Matematyki, Uniwersytet Jagiellonski, ul. Reymonta 4, PL-30059 Kraków, Poland
Email: stochel@im.uj.edu.pl

DOI: 10.1090/S0002-9939-06-08590-X
PII: S 0002-9939(06)08590-X
Keywords: Positive operator, selfadjoint operator, positive selfadjoint extension, Krein-von Neumann extension, Friedrichs extension
Received by editor(s): June 30, 2005
Received by editor(s) in revised form: November 29, 2005
Posted: October 27, 2006
Additional Notes: The research of the second author was supported by KBN grant 2 P03A 037 024
Dedicated: Dedicated to Henk de Snoo on the occasion of his sixtieth birthday.
Communicated by: Joseph A. Ball
Copyright of article: Copyright 2006, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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