Namespaces
Variants
Actions

Co-basis

From Encyclopedia of Mathematics
Revision as of 18:30, 21 October 2014 by Ivan (talk | contribs) (TeX)
Jump to: navigation, search

A basis of a dual or adjoint space.

Comments

A co-basis is also called a dual basis. Often the terminology "dual basis" or "co-basis" of $E^*$ is used to denote a basis $(e_i^*)$ of $E^*$ such that $e_i^*(e_j)=\delta_{ij}$ (the Kronecker delta), where $(e_i)$ is a given basis of $E$. The pair $(e_i),(e_i^*)$ is referred to as a pair of dual bases.

How to Cite This Entry:
Co-basis. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Co-basis&oldid=33980