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On von Neumann's problem in extension theory of nonnegative operators
Author(s):
Yury
Arlinskii;
Eduard
Tsekanovskii
Journal:
Proc. Amer. Math. Soc.
131
(2003),
3143-3154.
MSC (2000):
Primary 47A63, 47B25;
Secondary 47B65
Posted:
February 12, 2003
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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
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:
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
Posted:
February 12, 2003
Communicated by:
Joseph A. Ball
Copyright of article:
Copyright
2003,
American Mathematical Society
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