subnormal operator


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subnormal operator

[′səb‚nȯr·məl ′äp·ə‚rād·ər]
(mathematics)
An operator A on a Hilbert spaceHis said to be subnormal if there exists a normal operator B on a Hilbert spaceKsuch thatHis a subspace ofK, the subspaceHis invariant under the operator B, and the restriction of B toHcoincides with A.
References in periodicals archive ?
The analytic model represents a subnormal operator as the multiplication by the independent variable of a space of vector-valued functions that are analytic on the resolvent set of its normal extension, says Xia.