In this paper, we considered composition operators on weighted Hilbert spaces of analytic functions and  observed that a formula for the  essential norm, gives a Hilbert-Schmidt characterization and characterizes the membership in Schatten-class for these operators. Also, closed range composition operators  are investigated.

In this paper, we define and study two operators $Phi^s$ and $Psi^s$ with grill. Characterization and basic properties of these operators are obtained. Also, we generalize a grill topological spaces via topology $tau^s$ induced from operators $Phi^s$ and $Psi^s$.

We present a set of primitive restructuring operators that, when combined, are sufficiently powerful to convert an XML document under a source schema into an XML document under an arbitrary target schema. We initially define the operators at the schema level, and then show how each operator induces a corresponding transformation on any XML document under the schema. Finally, we note that our op...

The discipline of mathematics is characterized by a small, fundamental set of operators which, when taken in concert, support complex manipulations and analyses. In a similar sense, higher levels of spatial applications programming are founded upon a fundamental set of spatial operators. The tendency to focus upon geometric elements and operators based upon the dimensionality of space is perhap...

The current study presents an improved genetic algorithm(GA) for the flexible job shop scheduling problem (FJSP). The coding is divided into working sequence level and machine level and two effective crossover operators and mutation operators are designed for the generation and reduce the disruptive effects of genetic operators. The algorithm is tested on instances of 10 working sequences and 1...

given a pair (semispray $s$, metric $g$) on a tangent bundle, the family of nonlinear connections $n$ such that $g$ is recurrent with respect to $(s, n)$ with a fixed recurrent factor is determined by using the obata tensors. in particular, we obtain a characterization for a pair $(n, g)$ to be recurrent as well as for the triple $(s, stackrel{c}{n}, g)$ where $stackrel{c}{n}$ is the canonical ...

In the software development (e.g. with product lines or refactoring) transformations play an increasing role. To ease and automate these transformations, we propose a solution based on the operator hierarchy concept. It allows to define transformation operator hierarchies containing different levels of transformation operators. The operators capture reusable knowledge units. The concrete realiz...

We study the level-one irreducible highest weight representations of the quantum affine superalgebra Uq[ ̂ sl(N |1)], and calculate their characters and supercharacters. We obtain bosonized q-vertex operators acting on the irreducible Uq[ ̂ sl(N |1)]-modules and derive the exchange relations satisfied by the vertex operators. We give the bosonization of the multi-component super t− J model by usi...

Bosonized q-vertex operators related to the 4-dimensional evaluation modules of the quantum affine superalgebra Uq[ ̂ sl(2|1)] are constructed for arbitrary level k = α, where α 6= 0,−1 is a complex parameter appearing in the 4-dimensional evaluation representations. They are intertwiners among the level-α highest weight Fock-Wakimoto modules. Screen currents which commute with the action of Uq[...

TLA is a general purpose, formal specification language based on the Temporal Logic of Actions, with no built-in primitives for specifying real-time properties. Here, we use TLA to define operators for specifying the temporal behavior of physical components obeying integral equations of evolution. These operators, together with previously defined operators for describing timing constraints, are...