Date of Award
Summer 2019
Project Type
Dissertation
Program or Major
Mathematics
Degree Name
Doctor of Philosophy
First Advisor
Donald Hadwin
Second Advisor
Rita Hibschweiler
Third Advisor
Junhao Shen
Abstract
This dissertation has two parts. The first part deals with Don Hadwin’s non-commutative continuous functions of countably many variables and shows that every separable C^∗-algebra can be described in terms of countably many generators x_1, x_2, ... and a single relation \varphi’(x_1, x_2, ...) = 0 where \varphi is a non-commutative continuous function. The second involves representation of operator algebras on spaces of Banach space valued measurable functions and groups of measure preserving transformations. The main emphasis concerns describing asymptotic norms based on symmetric gauge norms on L^\infty[0,1]
Recommended Citation
Wanasawat, Shayathorn, "On Non-Commutative Continuous Functions and Asymptotic Symmetric Gauge Norms" (2019). Doctoral Dissertations. 2484.
https://scholars.unh.edu/dissertation/2484