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#### Right orders in full linear rings

(University of Canterbury. Mathematics, 1971)

The thesis is a study of right orders in a (left) full linear ring Q = HomD(V,V), V a right vector space over a division ring D. Chapter I, as well as summarizing known results needed in the sequel, outlines the method of ...

#### Empirical Bayes with a changing prior

(University of Canterbury. Mathematics, 1979)

This thesis examines a modified empirical Bayes decision problem in which the a priori distribution is assumed to change with each successive component problem. Firstly, the usual empirical Bayes problem and associated ...

#### Right orders in full linear rings

(University of Canterbury, 1971)

The thesis is a study of right orders in a (left) full linear ring Q = HomD(V,V), V a right vector space over a division ring D. Chapter I, as well as summarizing known results needed in the sequel, outlines the method of ...

#### On invariant means and applications to ergodic theory and harmonic analysis

(University of Canterbury, 1971)

This thesis is concerned with the existence and properties of invariant means on certain Banach spaces and their applications to ergodic theory and harmonic analysis. The principal results obtained are as follows.
Let ...

#### Maximal quotient rings of prime nonsingular group algebras

(University of Canterbury. Mathematics, 1977)

Recent work by Goodearl and Handelman has shown that a prime, regular, right self-injective ring Q must be precisely one of the following: (a) a full linear ring (being either simple Artinian; or infinite dimensional full ...

#### Degree of approximation theorems for approximation with side conditions

(University of Canterbury. Mathematics and Statistics, 1977)

This thesis is a study of the degree of uniform linear approximation with side conditions.
The side conditions considered fall into four categories namely: Lagrange interpolatory side conditions imposed on approximation ...

#### Type D spaces and quasi-diagonalizability

(University of Canterbury. Mathematics, 1976)

The coordinate system of Kerr and Debney is used to find the empty Type D metrics with a diverging principal null vector. These spaces are shown to be precisely that subclass of the diverging, empty, algebraically special ...

#### Bayes sequential design procedures : theory and applications

(University of Canterbury. Mathematics, 1978)

This thesis considers the problem of the sequential design of experiments from a Bayesian standpoint. Viewed as a sequential decision problem with a choice of experiments at each stage, the Bayes (i.e. optimal) sequential ...

#### Stably layered fluids

(University of Canterbury. Mathematics and Statistics, 1978)

Various problems associated with a stably layered fluid are studied.
Firstly, the flow of a layered fluid from a reservoir is considered. Steady solutions are sought and found to depend on the flow at the critical points, ...

#### Closure algebras

(University of Canterbury. Mathematics, 1975)

This thesis investigates the properties and behaviour of closure algebras. Closure algebras generalize the concepts of topological closure, algebraic closure and logical consequence. A closure algebra consists of a unary ...