Operator-valued Herglotz kernels and functions of positive real part on the ball

Details Operator-valued Herglotz kernels and functions of positive real part on the ball Operator-valued Herglotz kernels and functions of positive real part on the ball

2008-01-02

arxiv.org/abs/0801.0438v1

Mathematics

Functional Analysis

18 pages

Scientific paper

We describe several classes of holomorphic functions of positive real part on the unit ball; each is characterized by an operator-valued Herglotz formula. Motivated by results of J.E. McCarthy and M. Putinar, we define a family of weighted Cauchy-Fantappi\`e pairings on the ball and establish duality relations between certain pairs of classes, and in particular we identify the dual of the positive Schur class. We also establish the existence of self-dual classes with respect to this pairing, and identify some extreme points of the positive Schur class.

Affiliated with

Also associated with

No associations

Rating

Operator-valued Herglotz kernels and functions of positive real part on the ball does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Operator-valued Herglotz kernels and functions of positive real part on the ball, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Operator-valued Herglotz kernels and functions of positive real part on the ball will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-610703