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

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Authors

Yury Arlinskii̇̆ · Volodymyr Dahl East Ukrainian National University

Eduard Tsekanovskiı̆ · Niagara University

Abstract

The solution of von Neumannâs problem about parametrization of all nonegative selfadjoint extensions of a nonnegative densely defined operator in terms of his formulas is obtained.

Topics & Keywords

Spectral Theory in Mathematical Physics Matrix Theory and Algorithms Holomorphic and Operator Theory

UN Sustainable Development Goals

Reduced inequalities

Publication Details

Published in: Proceedings of the American Mathematical Society

Volume 131, Issue 10, pp. 3143-3154

DOI: 10.1090/s0002-9939-03-06859-x

Field-Weighted Citation Impact: 2.13