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A note on nth roots of positive operators

Published online by Cambridge University Press:  24 October 2008

John H. Jowett
John H. Jowett
Affiliation:
University of Otago, New Zealand
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Extract

The existence and uniqueness of a positive self-adjoint nth. root of a positive, self-adjoint, not necessarily bounded operator on a Hilbert Space H can be readily demonstrated using the spectral representation of the transformation.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 66 , Issue 1 , July 1969 , pp. 27 - 30
Copyright
Copyright © Cambridge Philosophical Society 1969

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References

REFERENCES

(1)Wouk, A.SIAM Review 8 (1966), 100–102.CrossRefGoogle Scholar
(2)Zaanen, A. C.Linear Analysis (Groningen: Noordhoff, 1953).Google Scholar