On von Neumann’s problem in extension theory of nonnegative operators
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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.References
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Additional Information
- Yury Arlinskiĭ
- Affiliation: Department of Mathematics, East Ukrainian National University, Kvartal Molodyozhny, 20-A, 91034, Lugansk, Ukraine
- Email: yma@snu.edu.ua
- Eduard Tsekanovskiĭ
- Affiliation: Department of Mathematics, P.O. Box 2044, Niagara University, New York 14109
- Email: tsekanov@niagara.edu
- 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
- © Copyright 2003 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 131 (2003), 3143-3154
- MSC (2000): Primary 47A63, 47B25; Secondary 47B65
- DOI: https://doi.org/10.1090/S0002-9939-03-06859-X
- MathSciNet review: 1992855