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Positive element
(Redirected from Positive operator)
In functional analysis, a hermitian element A of a C*-algebra is a positive element if its spectrum consists of positive real numbers. Equivalently, A has a hermitian square root, that is an element B of the C*-algebra satisfying B*=B and B2=A.
If A is a bounded linear operator on a Hilbert space H, then this notion coincides with the condition that
be positive for every vector x in H.
10-26-2009 08:16:03
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The contents of this article is licensed from www.wikipedia.org under the GNU Free Documentation License. Click here to see the transparent copy and copyright details