In mathematics, a biorthogonal system is a pair of indexed families form a pair of topological vector spaces that are in duality is a bilinear mapping is the Kronecker delta.

An example is the pair of sets of respectively left and right eigenvectors of a matrix, indexed by eigenvalue, if the eigenvalues are distinct.

is an orthonormal system.

Projection

its image is the linear span and the kernel

Construction

• then is a biorthogonal system.

See also

References

• Jean Dieudonné, On biorthogonal systems Michigan Math. J. 2 (1953), no. 1, 7–20 http://projecteuclid.org/Dienst/UI/1.0/Summarize/euclid.mmj/1028989861