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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On von Neumann's problem in extension theory of nonnegative operators


Authors: Yury Arlinskii and Eduard Tsekanovskii
Journal: Proc. Amer. Math. Soc. 131 (2003), 3143-3154
MSC (2000): Primary 47A63, 47B25; Secondary 47B65
Published electronically: February 12, 2003
MathSciNet review: 1992855
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Abstract: The solution of von Neumann's problem about parametrization of all nonegative selfadjoint extensions of a nonnegative densely defined operator in terms of his formulas is obtained.


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Additional Information

Yury Arlinskii
Affiliation: Department of Mathematics, East Ukrainian National University, Kvartal Molodyozhny, 20-A, 91034, Lugansk, Ukraine
Email: yma@snu.edu.ua

Eduard Tsekanovskii
Affiliation: Department of Mathematics, P.O. Box 2044, Niagara University, New York 14109
Email: tsekanov@niagara.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-03-06859-X
PII: S 0002-9939(03)06859-X
Received by editor(s): August 6, 2001
Received by editor(s) in revised form: May 6, 2002
Published electronically: February 12, 2003
Communicated by: Joseph A. Ball
Article copyright: © Copyright 2003 American Mathematical Society