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- Normal_operator abstract "In mathematics, especially functional analysis, a normal operator on a complex Hilbert space H is a continuous linear operator N : H → H that commutes with its hermitian adjoint N*, that is: NN* = N*N. Normal operators are important because the spectral theorem holds for them. The class of normal operators is well-understood. Examples of normal operators are unitary operators: N* = N−1 Hermitian operators (i.e., self-adjoint operators): N* = N Skew-Hermitian operators: N* = −N positive operators: N = MM* for some M (so N is self-adjoint).A normal matrix is the matrix expression of a normal operator on the Hilbert space Cn.".
- Normal_operator wikiPageID "190167".
- Normal_operator wikiPageLength "8956".
- Normal_operator wikiPageOutDegree "32".
- Normal_operator wikiPageRevisionID "672259920".
- Normal_operator wikiPageWikiLink Aluthge_transform.
- Normal_operator wikiPageWikiLink Beurlings_theorem.
- Normal_operator wikiPageWikiLink Beurling–Lax_theorem.
- Normal_operator wikiPageWikiLink Bilateral_shift.
- Normal_operator wikiPageWikiLink C*-algebra.
- Normal_operator wikiPageWikiLink Category:Operator_theory.
- Normal_operator wikiPageWikiLink Commutator.
- Normal_operator wikiPageWikiLink Compact_operator_on_Hilbert_space.
- Normal_operator wikiPageWikiLink Continuous_function.
- Normal_operator wikiPageWikiLink Continuous_function_(topology).
- Normal_operator wikiPageWikiLink Fugledes_theorem.
- Normal_operator wikiPageWikiLink Functional_analysis.
- Normal_operator wikiPageWikiLink Hermitian_adjoint.
- Normal_operator wikiPageWikiLink Hermitian_operator.
- Normal_operator wikiPageWikiLink Hilbert-Schmidt.
- Normal_operator wikiPageWikiLink Hilbert_space.
- Normal_operator wikiPageWikiLink Hilbert–Schmidt.
- Normal_operator wikiPageWikiLink Hyponormal_operator.
- Normal_operator wikiPageWikiLink Inner_product.
- Normal_operator wikiPageWikiLink Inner_product_space.
- Normal_operator wikiPageWikiLink Linear_map.
- Normal_operator wikiPageWikiLink Linear_operator.
- Normal_operator wikiPageWikiLink Mathematics.
- Normal_operator wikiPageWikiLink Normal_matrix.
- Normal_operator wikiPageWikiLink Normaloid.
- Normal_operator wikiPageWikiLink Numerical_radius.
- Normal_operator wikiPageWikiLink Numerical_range.
- Normal_operator wikiPageWikiLink Paranormal_operator.
- Normal_operator wikiPageWikiLink Positive_element.
- Normal_operator wikiPageWikiLink Positive_operator.
- Normal_operator wikiPageWikiLink Projection-valued_measure.
- Normal_operator wikiPageWikiLink Quasinormal_operator.
- Normal_operator wikiPageWikiLink Self-adjoint_operator.
- Normal_operator wikiPageWikiLink Shift_operator.
- Normal_operator wikiPageWikiLink Skew-Hermitian.
- Normal_operator wikiPageWikiLink Spectral_radius.
- Normal_operator wikiPageWikiLink Spectral_theorem.
- Normal_operator wikiPageWikiLink Subnormal_operator.
- Normal_operator wikiPageWikiLink Trace_(linear_algebra).
- Normal_operator wikiPageWikiLink Unitary_operator.
- Normal_operator wikiPageWikiLinkText "Normal operator".
- Normal_operator wikiPageWikiLinkText "non-normal operator".
- Normal_operator wikiPageWikiLinkText "non-normal operators".
- Normal_operator wikiPageWikiLinkText "normal element".
- Normal_operator wikiPageWikiLinkText "normal operator".
- Normal_operator wikiPageWikiLinkText "normal".
- Normal_operator date "May 2015".
- Normal_operator hasPhotoCollection Normal_operator.
- Normal_operator reason "Normal operators were not defined for real Hilbert spaces although the definition is similar and perhaps should be given.".
- Normal_operator reason "The link only defines numerical radius for n x n matrices.".
- Normal_operator reason "This follows from a well-known and useful theorem that deserves a link.".
- Normal_operator wikiPageUsesTemplate Template:Dn.
- Normal_operator wikiPageUsesTemplate Template:Functional_Analysis.
- Normal_operator wikiPageUsesTemplate Template:Refimprove.
- Normal_operator wikiPageUsesTemplate Template:Sfnp.
- Normal_operator wikiPageUsesTemplate Template:What.
- Normal_operator subject Category:Operator_theory.
- Normal_operator hypernym N.
- Normal_operator type Article.
- Normal_operator type Band.
- Normal_operator type Article.
- Normal_operator type Physic.
- Normal_operator comment "In mathematics, especially functional analysis, a normal operator on a complex Hilbert space H is a continuous linear operator N : H → H that commutes with its hermitian adjoint N*, that is: NN* = N*N. Normal operators are important because the spectral theorem holds for them. The class of normal operators is well-understood.".
- Normal_operator label "Normal operator".
- Normal_operator sameAs Normaler_Operator.
- Normal_operator sameAs Endomorphisme_normal.
- Normal_operator sameAs העתקה_נורמלית.
- Normal_operator sameAs Operatore_normale.
- Normal_operator sameAs 正規作用素.
- Normal_operator sameAs 정규_작용소.
- Normal_operator sameAs Normale_operator.
- Normal_operator sameAs Operator_normalny.
- Normal_operator sameAs Operador_normal.
- Normal_operator sameAs m.01b03d.
- Normal_operator sameAs Нормальная_матрица.
- Normal_operator sameAs Нормальна_матриця.
- Normal_operator sameAs Q854946.
- Normal_operator sameAs Q854946.
- Normal_operator sameAs 正规算子.
- Normal_operator wasDerivedFrom Normal_operator?oldid=672259920.
- Normal_operator isPrimaryTopicOf Normal_operator.