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Spectrum preserving linear mappings between Banach algebras
(Stellenbosch : Stellenbosch University, 2003-04)
ENGLISH ABSTRACT: Let A and B be unital complex Banach algebras with identities 1 and I'
respectively. A linear map T : A -+ B is invertibility preserving if Tx is
invertible in B for every invertible x E A. We say that ...
Fredholm theory in general Banach algebras
(Stellenbosch : University of Stellenbosch, 2010-03)
ENGLISH ABSTRACT: This thesis is a study of a generalisation, due to R. Harte (see [9]), of Fredholm
theory in the context of bounded linear operators on Banach spaces
to a theory in a Banach algebra setting. A bounded ...
Investigating credit based mechanisms for enhancing performance in wireless ad hoc networks
(Stellenbosch : Stellenbosch University, 2012-12)
ENGLISH ABSTRACT: This thesis explores two key aspects of wireless ad hoc networks. The first aspect concerns the topic of stimulating cooperation between nodes in a wireless ad hoc network. The functionality of a wireless ...
Spectral theory in commutatively ordered banach algebras
(Stellenbosch : Stellenbosch University, 2012-12)
ENGLISH ABSTRACT: See full text.
Cyclotomic polynomials (in the parallel worlds of number theory)
(Stellenbosch : Stellenbosch University, 2011-12)
ENGLISH ABSTRACT: It is well known that the ring of integers Z and the ring of polynomials A = Fr[T] over a
finite field Fr have many properties in common. It is due to these properties that almost all
the famous ...
Comparative analysis of predictive equations for transfer processes in different porous structures
(Stellenbosch : Stellenbosch University, 2012-12)
ENGLISH ABSTRACT: Research on transfer processes in various types of porous media has become important
for the optimization of high technology engineering devices and processes. In this study
the micro-structural parameters ...
Fourier methods for pricing early-exercise options under levy dynamics
(Stellenbosch : Stellenbosch University, 2012-12)
ENGLISH ABSTRACT: The pricing of plain vanilla options, including early exercise options, such as Bermudan
and American options, forms the basis for the calibration of financial models.
As such, it is important to be ...
Drinfeld modules and their application to factor polynomials
(Stellenbosch : Stellenbosch University, 2012-12)
ENGLISH ABSTRACT: Major works done in Function Field Arithmetic show a strong analogy between
the ring of integers Z and the ring of polynomials over a nite eld Fq[T]. While
an algorithm has been discovered to factor ...
Basic properties of models for the spread of HIV/AIDS
(Stellenbosch : Stellenbosch University, 2007-03)
ENGLISH ABSTRACT: While research and population surveys in HIV/AIDS are well established in
developed countries, Sub-Saharan Africa is still experiencing scarce HIV/AIDS
information. Hence it depends on results obtained ...
Modelling of nonlinear dynamic systems : using surrogate data methods
(Stellenbosch : Stellenbosch University, 2000-12)
ENGLISH ABSTRACT: This study examined nonlinear modelling techniques as applied to dynamic systems, paying
specific attention to the Method of Surrogate Data and its possibilities. Within the field of
nonlinear modelling, ...