| 释义 |
dual basis
dual basis[¦dü·əl ′bā·ses] (mathematics) for a finite-dimensional vector space with basis x1, x2, …, xn, the dual basis of the conjugate space is the set of linear functionals f1, f2, …, fn with fi (xi) = 1 and fi (xj) = 0 for i not equal to j. For a Barach space with basis x 1, x 2, …, the dual basis of the conjugate space is the sequence of continuous linear functionals, f1, f2, …, defined by fi (xi) = 1 and fi (xj) 0 for i not equal to j, provided that the conjugate space is shrinking. |