About: Polar decomposition

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Representation of invertible matrices as unitaries multiplying a Hermitian operator

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dbo:description
  • outil mathématique (fr)
  • представление квадратной матрицы в виде произведения эрмитовой и унитарной матриц (ru)
  • representation of invertible matrices as unitaries multiplying a Hermitian operator (en)
  • prezento de inversigebla matrico kiel produto de unita matrico kaj hermita matrico (eo)
  • Zerlegung und Verallgemeinerung von linearen Operatoren bei der linearen Algebra und Funktionalanalysis (de)
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dbp:mathStatement
  • If A, B are bounded operators on a Hilbert space H, and AA ≤ BB, then there exists a contraction C such that A = CB. Furthermore, C is unique if ker ⊂ ker. (en)
dbp:name
  • Lemma (en)
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dct:subject
rdfs:label
  • Polar decomposition (en)
  • Descomposició polar (ca)
  • Polární rozklad (cs)
  • Polarzerlegung (de)
  • Décomposition polaire (fr)
  • Decomposizione polare (it)
  • 극분해 (ko)
  • Rozkład biegunowy operatora (pl)
  • Полярное разложение (ru)
  • Полярний розклад матриці (uk)
  • Polärfaktorisering (sv)
  • 极分解 (zh)
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