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 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.

Redundancy is one of the primary techniques for the engineering of safety-critical systems. Back-up resources can be called upon to mitigate the failure of primary systems. Traditionally, operator intervention can be required to manually switch between a failed unit and redundant resources. However, programmable systems are increasingly used to automatically detect failures and reconfigure unde...

One-dimensional unitary scattering controlled by non-Hermitian (typically, PT -symmetric) quantum Hamiltonians H 6= H is considered. Treating these operators via Runge–Kutta approximation, our three-Hilbert-space formulation of quantum theory is reviewed as explaining the unitarity of scattering. Our recent paper on bound states [Znojil M., SIGMA 5 (2009), 001, 19 pages, arXiv:0901.0700] is com...