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Co-basis

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A basis of a dual or adjoint space.

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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://www.encyclopediaofmath.org/index.php?title=Co-basis&oldid=39419