Analytic Reproducing Kernels and Factorization
Gregory T. Adams, John Froelich, Paul McGuire, Vern I. Paulsen · 2004
Abstract. This paper relates questions about factorizations of positive matrices to properties of analytic reproducing kernel Hilbert spaces. In particular the question of when the polynomials are dense in a reproducing kernel Hilbert space is related to the factoring of an associated positive matrix into the form UU∗ where U is an upper triangular matrix. An emphasis is placed on factorization and reproducing kernel methods as opposed to function theoretic methods.