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Statements

Subject Item
dbr:Quasinormal_operator
rdf:type
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rdfs:label
準正規作用素 Quasinormal operator Quasinormaler Operator
rdfs:comment
作用素論における準正規作用素(じゅんせいきさようそ、英: quasinormal operator)は正規作用素の条件を緩めた定義を持つ有界作用素のクラスである。 任意の準正規作用素は (subnormal) であり、また有限次元ヒルベルト空間の準正規作用素は必ず正規である。 In operator theory, quasinormal operators is a class of bounded operators defined by weakening the requirements of a normal operator. Every quasinormal operator is a subnormal operator. Every quasinormal operator on a finite-dimensional Hilbert space is normal.
dcterms:subject
dbc:Operator_theory dbc:Invariant_subspaces
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dbr:Operator_theory dbr:Continuous_functional_calculus dbc:Invariant_subspaces dbr:Subnormal_operator dbr:Partial_isometry dbr:Reducing_subspace dbr:Normal_operator dbr:Bounded_operator dbr:Unilateral_shift dbr:Self-adjoint_operator dbr:Spectral_theorem dbr:Polar_decomposition dbr:Hilbert_space dbc:Operator_theory
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dbo:abstract
In operator theory, quasinormal operators is a class of bounded operators defined by weakening the requirements of a normal operator. Every quasinormal operator is a subnormal operator. Every quasinormal operator on a finite-dimensional Hilbert space is normal. 作用素論における準正規作用素(じゅんせいきさようそ、英: quasinormal operator)は正規作用素の条件を緩めた定義を持つ有界作用素のクラスである。 任意の準正規作用素は (subnormal) であり、また有限次元ヒルベルト空間の準正規作用素は必ず正規である。
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wikipedia-en:Quasinormal_operator