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Convexoid operator : ウィキペディア英語版
Convexoid operator
In mathematics, especially operator theory, a convexoid operator is a bounded linear operator ''T'' on a complex Hilbert space ''H'' such that the closure of the numerical range coincides with the convex hull of its spectrum.
An example of such an operator is a normal operator (or some of its generalization).
A closely related operator is a spectraloid operator: an operator whose spectral radius coincides with its numerical radius. In fact, an operator ''T'' is convexoid if and only if T - \lambda is spectraloid for every complex number \lambda.
== See also ==

*Aluthge transform

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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