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

Terme préférentiel

C*-algebra  

Définition

  • In mathematics, specifically in functional analysis, a C*-algebra (pronounced "C-star") is a Banach algebra together with an involution satisfying the properties of the adjoint. A particular case is that of a complex algebra A of continuous linear operators on a complex Hilbert space with two additional properties :
    - A is a topologically closed set in the norm topology of operators.
    - A is closed under the operation of taking adjoints of operators.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/C*-algebra)

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http://data.loterre.fr/ark:/67375/PSR-V40NLNFZ-K

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