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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.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
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.
Analytic Theory of Subnormal Operators
Feldman, "Essentially subnormal operators," Proceedings of the American Mathematical Society, vol.
Reducing Subspaces of the Dual Truncated Toeplitz Operator
We refer the reader to [6, 16-19] for the foundations of the theory of bounded and unbounded subnormal operators, respectively.
Subnormal weighted shifts on directed trees and composition operators in [L.sup.2]-spaces with nondensely defined powers
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