# Universal objects in categories of reproducing kernels

Universal objects in categories of reproducing kernels - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

Descargar gratis o leer online en formato PDF el libro: Universal objects in categories of reproducing kernels
We continue our earlier investigation on generalized reproducing kernels, in connection with the complex geometry of $C^*$- algebra representations, by looking at them as the objects of an appropriate category. Thus the correspondence between reproducing $-*$-kernels and the associated Hilbert spaces of sections of vector bundles is made into a functor. We construct reproducing $-*$-kernels with universality properties with respect to the operation of pull-back. We show how completely positive maps can be regarded as pull-backs of universal ones linked to the tautological bundle over the Grassmann manifold of the Hilbert space $\ell^2{\mathbb N}$.

Autor: Daniel Beltita; Jose E. Gale

Fuente: https://archive.org/