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Products of positive operators

Published online by Cambridge University Press:  24 October 2008

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

Extract

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

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1974

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References

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