An orthonormal basis can be generalized to arbitrary (infinite-dimensional) inner product spaces using the Gram–Schmidt process (a method for orthonormalizing a set of vectors in an inner product space), in every finite-dimensional inner product space.
An orthonormal basis can be generalized to arbitrary (infinite-dimensional) inner product spaces using the Gram–Schmidt process (a method for orthonormalizing a set of vectors in an inner product space), in every finite-dimensional inner product space.