Vector spaces with distances
14.1 Orthogonal polynomials
After looking at one direction that the algebraist might take, let us look at a direction that the analyst might take.
Earlier we introduced an inner product on ℝn defined by
Definition 14.1.1 If U is a vector space over ℝ, we say that a function M : U2 → ℝ is an inner product if writing
the following results hold ...