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mathematical analysis > functional analysis > Banach algebra > C*-algebra > Wold decomposition
... > algebra > abstract algebra > algebraic structure > associative algebra > Banach algebra > C*-algebra > Wold decomposition
mathematical analysis > functional analysis > operator > Wold decomposition

Preferred term

Wold decomposition  

Definition

  • In mathematics, particularly in operator theory, Wold decomposition or Wold–von Neumann decomposition, named after Herman Wold and John von Neumann, is a classification theorem for isometric linear operators on a given Hilbert space. It states that every isometry is a direct sum of copies of the unilateral shift and a unitary operator.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Wold%27s_decomposition)

Broader concept

Entry terms

  • Wold-von Neumann decomposition

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URI

http://data.loterre.fr/ark:/67375/PSR-JSLHWQZQ-G

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