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Statements

Subject Item

dbr:Convexoid_operator

rdfs:label

Konvexoidoperator Convexoid operator

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, 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 .

dcterms:subject

dbc:Operator_theory

dbo:wikiPageID

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905485397

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dbr:Spectraloid_operator dbr:Hilbert_space dbr:Numerical_range dbr:Operator_theory dbr:Spectrum_(functional_analysis) dbr:Linear_operator dbr:Bounded_operator dbr:Normal_operator dbr:Spectral_radius dbr:Convex_hull dbr:Aluthge_transform dbr:Mathematics dbc:Operator_theory dbr:Numerical_radius

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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, 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 .

prov:wasDerivedFrom

wikipedia-en:Convexoid_operator?oldid=905485397&ns=0

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1132

foaf:isPrimaryTopicOf

wikipedia-en:Convexoid_operator

Subject Item

dbr:Hyponormal_operator

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dbr:Convexoid_operator

Subject Item

wikipedia-en:Convexoid_operator

foaf:primaryTopic

dbr:Convexoid_operator