Dissertation/Thesis Abstract

On Non-commutative Continuous Functions and Asymptotic Symmetric Gauge Norms
by Wanasawat, Shayathorn, Ph.D., University of New Hampshire, 2019, 57; 22618953
Abstract (Summary)

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]

Indexing (document details)
Advisor: Hadwin, Donald
Commitee: Hibschweiler, Rita, Shen, Junhao, Orhon, Mehmet, Nordgren, Eric
School: University of New Hampshire
Department: Mathematics
School Location: United States -- New Hampshire
Source: DAI-B 81/4(E), Dissertation Abstracts International
Subjects: Mathematics
Keywords: Gauge Norms, Non-commutative Continuous Functions
Publication Number: 22618953
ISBN: 9781687961884
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