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(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 Xvalued uniformly bounded martingales that are Cauchy in ...
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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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(1996)This thesis introduces a new set theory referred to as the graphisomorphism set theory (GST). GST does not satisfy the foundation axiom. Peter Aczel has presented several nonwellfounded (NWF) set theories within a unified ...
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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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(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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(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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(1996)Let $\pi$ be orthogonal projection of $\IR\sp{d}$ onto a hyperplane and let P be a dpolytope in $\IR\sp{d}$. The following relations hold on the numbers of facets $f\sb{d1}(P)$ of P and $f\sb{d2}(\pi(P))$ of ...
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(1992)Numerical modeling of nonstationary transport effects using partial differential equations derived from the Boltzmann Transport Equation (BTE) is investigated. Augmented driftdiffusion (ADD) models and improved energy ...
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