Biorthogonal system

In mathematics, a biorthogonal system is a pair of indexed families of vectors

such that

where E and F form a pair of topological vector spaces that are in duality, $⟨, ⟩$ is a bilinear mapping and $\delta_{i,j}$ is the Kronecker delta.

A biorthogonal system in which $E = F$ and $\tilde v_i = \tilde u_i$ is an orthonormal system.

单词	Biorthogonal system
释义	Biorthogonal system 英语百科 Biorthogonal system In mathematics, a biorthogonal system is a pair of indexed families of vectors such that where E and F form a pair of topological vector spaces that are in duality, $⟨, ⟩$ is a bilinear mapping and $\delta_{i,j}$ is the Kronecker delta. A biorthogonal system in which $E = F$ and $\tilde v_i = \tilde u_i$ is an orthonormal system.
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