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Products of positive operators

Published online by Cambridge University Press:  24 October 2008

S. J. Bernau
S. J. Bernau
Affiliation:
University of Texas, Austin, Texas 78712, U.S.A.
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Extract

Let H be a complex Hilbert space. Recall that a bounded linear operator A, on H, is positive if (Ax, x) ≥ 0 (x ∈ H) (so that A = A* necessarily) and positive definite if A is positive and invertible.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 76 , Issue 2 , September 1974 , pp. 415 - 416
Copyright
Copyright © Cambridge Philosophical Society 1974

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References

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