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The Stieltjes Moment Problem

Published online by Cambridge University Press:  20 November 2018

G. Klambauer
G. Klambauer*
Affiliation:
Department of Mathematics, University of Ottawa, Ottawa, Ontario
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We shall apply the spectral theorem for self adjoint operators in Hilbert space to study an operator version of the Stieltjes moment problem [1]. In the course of the work we shall make use of the Friedrichs extension theorem which states that any non-negative symmetric operator in Hilbert space has a non-negative self adjoint extension.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 24 , Issue 3 , 01 September 1981 , pp. 279 - 282
Copyright
Copyright © Canadian Mathematical Society 1981

References

1. Dunford, N. and Schwartz, J. T., Linear Operators, Part II: Spectral Theory, Interscience Publishers, New York 1968; pp. 1253-1254.Google Scholar