Abstract
We give a new treatment of Quiggin's and McCullough's characterization of complete Nevanlinna-Pick kernels. We show that a kernel has the matrix-valued Nevanlinna-Pick property if and only if it has the vector-valued Nevanlinna-Pick property. We give a representation of all complete Nevanlinna-Pick kernels, and show that they are all restrictions of a universal complete Nevanlinna-Pick kernel.
| Original language | English |
|---|---|
| Pages (from-to) | 111-124 |
| Number of pages | 14 |
| Journal | Journal of Functional Analysis |
| Volume | 175 |
| Issue number | 1 |
| DOIs | |
| State | Published - Aug 1 2000 |