dual basis
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dual basis [¦dü·əl ′bā·ses]

(mathematics)

for a finite-dimensional vector space with basisx₁,x₂, …,x_n, the dual basis of the conjugate space is the set of linear functionalsf₁,f₂, …,f_nwithf_i(x_i) = 1 andf_i(x_j) = 0 forinot equal toj.

For a Barach space with basisx1,x2, …, the dual basis of the conjugate space is the sequence of continuous linear functionals,f₁,f₂, …, defined byf_i(x_i) = 1 andf_i(x_j) 0 forinot equal toj, provided that the conjugate space is shrinking.

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dual basis (redirected from Dual vector)

dual basis
(redirected from Dual vector)