# Browse Dissertations and Theses - Mathematics by Title

• (1993)
The examples discussed in this paper are related to the atomic space problem: Is there an infinite dimensional space with no proper closed infinite dimensional subspace? This question is equivalent to one first posed by ...

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• (1987)
In this thesis we introduce the class (DELTA)(X,Y) of nearly represent- able operators from a Banach space X to a Banach space Y. These are the operators that map X-valued uniformly bounded martingales that are Cauchy in ...

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• (1978)

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• (1972)

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• (1974)

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• (2012-06-27)
Moving boundary problems arise in many areas of science and engineering and they are of great importance in the areas of partial differential equations (PDEs) since they characterize phase change phenomena where a system ...

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• (1990)
In Chapter I we shall prove a new upper bound in the linear sieve. Our purpose in Chapter II is to explain our method in greater detail than was done in Chapter I. Let x be a large number. We consider $\pi\sb2$(x)--the ...

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• (1979)

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• (1996)
This thesis introduces a new set theory referred to as the graph-isomorphism set theory (GST). GST does not satisfy the foundation axiom. Peter Aczel has presented several non-well-founded (NWF) set theories within a unified ...

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• (2010-08-20)
Results from abstract harmonic analysis are extended to locally compact quantum groups by considering the noncommutative Lp-spaces associated with the locally compact quantum groups. Let G be a locally compact abelian ...

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• (1989)
Consider the nonlinear, singularly perturbed, vector boundary relation problem x$\sp\prime$ = f(t,x,y,$\epsilon$), $\epsilon$y$\sp\prime$ = g(t,x,y,$\epsilon$), L(x(0),y(0),$\epsilon$) = $\alpha\sb0$, R(x(1),y(1),$\epsilon$) ...

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• (2011-05-25)
In this dissertation, a nonstandard approach to lifting theory developed by Bliedtner and Loeb is applied to liftings on topological measure spaces and group measure spaces. A further application to disintegrations of ...

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• (1989)
Ideas and techniques from nonstandard theories of measure spaces and Banach spaces are brought together to develop a nonstandard theory of Banach space valued measures. In particular, constructions of countably additive ...

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• (1994)
We describe an extension of the Bochner integral. Bochner integrable functions can be approximated by simple functions. Using Nonstandard Analysis, we investigate internal simple functions from an internal measure space ...

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• (1974)

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• (1994)
Let f be a meromorphic function in the complex plane C. We consider the normality of the family of integer translations of f, $\{ f(z + n):n = 0,\pm 1,\pm2,\...\}$. If the family is normal on a set G in C, then the set G ...

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• (1978)

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• (1966)

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• (1974)

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• (1996)
Let $\pi$ be orthogonal projection of $\IR\sp{d}$ onto a hyperplane and let P be a d-polytope in $\IR\sp{d}$. The following relations hold on the numbers of facets $f\sb{d-1}(P)$ of P and $f\sb{d-2}(\pi(P))$ of ...

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