Given a vector space V of homogeneous polynomials of the same degree over an infinite field, consider a generic subspace W of V. The main result of this paper is a lower-bound (in general sharp) for ...

A theorem of Korovkin states that a sequence of positive linear operators on C[ a, b] converges strongly to the identity if and only if convergence holds on a three-dimensional Chebyshev subspace of C ...