Browsing Pure Mathematics by Subject "Operator algebras"

Now showing items 1-3 of 3

Algebraic characterization of multivariable dynamics

Ramsey, Christopher (University of Waterloo, 2009-03-26)

Let X be a locally compact Hausdorﬀ space along with n proper continuous maps σ = (σ1 , · · · , σn ). Then the pair (X, σ) is called a dynamical system. To each system one can associate a universal operator algebra called ...
Nevanlinna-Pick Spaces and Dilations

Hartz, Michael Peter (University of Waterloo, 2016-07-12)

The majority of this thesis is devoted to the study of Nevanlinna-Pick spaces and their multiplier algebras. These spaces are Hilbert function spaces in which a version of the Nevanlinna-Pick interpolation theorem from ...
On fixed points of self maps of the free ball

Shamovich, Eli (Elsevier, 2018-07-01)

In this paper, we study the structure of the fixed point sets of noncommutative self maps of the free ball. We show that for such a map that fixes the origin the fixed point set on every level is the intersection of the ...