This thesis deals with two topics in Functional Analysis. The first three chapters are concerned with positive linear functionals on Banach *-algebras, whil^ the last two deal with operators that act compactly on an algebra of operators.

in this paper, we de ne and study two operators s and s with grill.characterization and basic properties of these operators are obtained. also,we generalize a grill topological spaces via topology  s induced from operatorss and s.

in this paper we study properties of symbols such that these belong to class of symbols sitting insidesm ρ,φ that we shall introduce as the following. so for because hypoelliptic pseudodifferential operatorsplays a key role in quantum mechanics we will investigate some properties of m−hypoelliptic pseudodifferential operators for which define base on this class of symbols. also we consider maxi...

This paper is a direct continuation of Functional analysis behind Family Multidimensional Continued Fractions: Part I, in which we started the exploration functional transfer operators for triangle partition maps, family that includes many, if not most, well-known multidimensional continued fraction algorithms. allows us now to find eigenfunctions eigenvalue 1 associated with select maps on spe...

this paper presents characterizations of m-fuzzifying matroids bymeans of two kinds of fuzzy operators, called m-fuzzifying derived operatorsand m-fuzzifying difference derived operators.

in this paper, we consider weighted composition operators betweenmeasurable differential forms and then some classic properties of these operators are characterized.

In the literature, it is generally overlooked that designers use functional models more frequently than behavioral or gate-level models. In functional modeling, the functionality of one or more components, like arithmetic/logic units, memories, and counters, are described as separate concurrent blocks. We present an algorithm, called Functional Synthesis Algorithm (FSA), for synthesis from thes...

Free-form deformation is an important geometric shape modification method in computer animation and geometric modeling. We explore it by means of functional composition via shifting operators. Our method takes a polygonal model as input but yields a curved model described by triangular Bézier patches as output. The proposed method also solves the sample problem of free-form deformation. keyword...

Systems of second-order functional differential equations (x(t)+L(x)(t)) = F (x)(t) together with nonlinear functional boundary conditions are considered. Here L : C1([0, T ];R) → C0([0, T ];R) and F : C1([0, T ];R) → L1([0, T ];R) are continuous operators. Existence results are proved by the Leray-Schauder degree and the Borsuk antipodal theorem for α-condensing operators. Examples demonstrate...