orthogonal complement

orthogonal complement
ortogonaalikomplementti, ortokomplementti, orto

English-Finnish mathematical dictionary. 2011.

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  • Orthogonal complement — In the mathematical fields of linear algebra and functional analysis, the orthogonal complement W⊥ of a subspace W of an inner product space V is the set of all vectors in V that are orthogonal to every vector in W (Halmos 1974, p. 123):… …   Wikipedia

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  • Complement orthogonal — Complément orthogonal En mathématiques, plus précisément en algèbre linéaire et en analyse fonctionnelle, le complément orthogonal d un sous espace vectoriel W d un espace préhilbertien V est l ensemble des vecteurs de V qui sont orthogonaux à… …   Wikipédia en Français

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  • Compact operator on Hilbert space — In functional analysis, compact operators on Hilbert spaces are a direct extension of matrices: in the Hilbert spaces, they are precisely the closure of finite rank operators in the uniform operator topology. As such, results from matrix theory… …   Wikipedia

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