In this thesis we define two nxn matrices T and S to be isoconjunctive if there exists an nxn nonsingular hermitian matrix H such that T = HSH. We then proceed to establish necessary and sufficient conditions that two nxn matrices T and S be isoconjunctive in the case where...
The extension and convergence of positive operators is investigated by means of a monotone approximation technique. Some generalizations and extensions of Korovkin's monotone operator theorem on C[0, 1] are given. The concept of a regular set is introduced and it is shown that pointwise convergence is uniform on regular sets....
A set of axioms of incidence and order for geometry was formulated
by David Hilbert in 1898. In this paper these axioms are reformulated
and particular care is taken with the two relations of order
and incidence. Such phrases as " point P lies on line [cursive small letter L]"...
The simplest existing properly invariant theory for anisotropic
fluids, proposed by Ericksen, includes equations governing the nature
of a preferred direction. An analysis of simple shearing motion given
by Ericksen suggested that this type of theory might be applicable to
some fluids which are commonly treated as isotropic and might...
First, topological vector spaces are examined from a partial
order structure derived from neighborhood bases of the origin. This
structure is used to produce a minimal vector norm for every
Hausdorff locally convex space.
Then, topological vector spaces are examined to find translation
invariant measures with respect to which functions...
Allen Freedman defined a density space to be the ordered pair
(S,𝓕) where S is a certain kind of semigroup called an s-set and 𝓕
is a special type of family of finite subsets of S called a fundamental
family on S. Several properties for density spaces are
obtained, and...