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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On von Neumann’s problem in extension theory of nonnegative operators
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by Yury Arlinskiĭ and Eduard Tsekanovskiĭ PDF
Proc. Amer. Math. Soc. 131 (2003), 3143-3154 Request permission

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 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