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In mathematics, especially operator theory … 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 is spectraloid for every complex number . is spectraloid for every complex number .
, Inom matematiken är en konvexoidoperator en linjär operator T på ett komplext Hilbertrum H så att det slutna höljet av dess är lika med det konvexa höljet av dess spektrum.
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| rdfs:comment |
Inom matematiken är en konvexoidoperator en linjär operator T på ett komplext Hilbertrum H så att det slutna höljet av dess är lika med det konvexa höljet av dess spektrum.
, In mathematics, especially operator theory … 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 is spectraloid for every complex number . is spectraloid for every complex number .
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| rdfs:label |
Convexoid operator
, Konvexoidoperator
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