Abstract Consider the space of weighted binomial matrices in Nakano sequence soft functions. We have offered some geometric and topological structures multiplication operator acting on this its associated ideal. The existence a fixed point Kannan contraction prequasioperator ideal is confirmed. Finally, we discuss many applications solutions to nonlinear stochastic dynamical matrix systems illu...

In this survey paper, we describe a framework for assertion-based verification of quantum circuits by applying model checking techniques systems developed in our previous work, which: Noiseless and noisy are modelled as operator- super-operator-valued transition systems, respectively, both which can be further represented tensor networks. Quantum assertions specified temporal extension Birkhoff...

Consider a contraction operator T over a Banach space X with a fixed point x. Assume that one can approximate the operator T by a random operator T̂ using N ∈ N independent and identically distributed samples of a random variable. Consider the sequence (X̂ k )k∈N, which is generated by X̂ N k+1 = T̂ (X̂ k ) and is a random sequence. In this paper, we prove that under certain conditions on the random...

Let T and C be two Hilbert space operators. We prove that if T is near, in a certain sense, to an operator completely polynomially dominated with a finite bound by C, then T is similar to an operator which is completely polynomially dominated by the direct sum of C and a suitable weighted unilateral shift. Among the applications, a refined Banach space version of Rota similarity theorem is give...

muscle fatigue assessment has been the basis of numerous studies, specifically, in neuromuscular rehabilitation and the applications of fessystems. various emgbased techniques, in time and frequency domains, have been investigatedover years for the detection and evaluationof this phenomenon. the main objective of this study has beento evaluate the efficiency of applying a number of techniques w...

In this manuscript, we have a tendency to execute Banach contraction fixed point theorem combined with resolvent operator to analyze the exact controllability results for fractional neutral integrodifferential systems (FNIDS) with state-dependent delay (SDD) in Banach spaces. An illustration is additionally offered to exhibit the achieved hypotheses.

We attempt at a logical characterization of reasoning about normality based on the intuition that a normal situation is represented by a stable set of default assumptions. Within the context of preferential consequence relations we shall define a normality operator B and study its logical properties. Finally we shall focus on the AGM-like postulates for the normality expansion, contraction and ...