In this paper, we introduce and study a generalized Yosida approximation operator associated to H(·, ·)-co-accretive operator and discuss some of its properties. Using the concept of graph convergence and resolvent operator, we establish the convergence for generalized Yosida approximation operator. Also, we show an equivalence between graph convergence for H(·, ·)-co-accretive operator and gen...

The goal of this paper is to present a generalization of methods used in some manufacturing domains for selection and instantiation of plan operators. We call the generalized method operator construction, because it involves building up a description of an operator from individual pieces of knowledge about the capabilities of the processing equipment in the domain. These pieces of knowledge are...

We introduce a class of reductions the two-component KP hierarchy, which includes Hirota-Ohta system hierarchy. The description reduced hierarchies is based on Hirota bilinear identity and an extra relation characterising reduction. derive reduction conditions in terms Lax operator higher linear operators as well basic equations.

The idea of the -numerical range a bounded linear operator on complex Hilbert space with respect to family projections is introduced in this study. We provide detailed description and discuss its relationship generalizations such as product S-numerical range. significance new concept comes from unifying character.

we consider the transitive linear maps on the operator algebra $b(x)$for a separable banach space $x$. we show if a bounded linear map is norm transitive on $b(x)$,then it must be hypercyclic with strong operator topology. also we provide a sot-transitivelinear map without being hypercyclic in the strong operator topology.

Process algebras are suitable for describing networks of communicating processes. In most process algebras, the description of such networks is achieved using parallel composition operators. Noticing that the parallel composition operators commonly found in process algebras are often limited in expressiveness and/or difficult for novice users, we propose a new parallel operator that allows netw...

We consider the coupling between three dimensional gravity with zero cosmological constant and massive spinning point particles. First, we study the classical canonical analysis of the coupled system. Then, we go to the Hamiltonian quantization generalizing loop quantum gravity techniques. We give a complete description of the kinematical Hilbert space of the coupled system. Finally, we define ...

We present 2 adaptive refinement techniques, namely, adaptive local refinement and adaptive hierarchical refinement, for isogeometric analysis. An element-wise point of view is adopted, exploiting Bézier extraction, which facilitates the implementation of adaptive refinement in isogeometric analysis. Locally refined and hierarchical T-splines are used for the description of the geometry as well...