Let X be an operator space, let φ be a product on X , and let (X, φ) denote the algebra that one obtains. We give necessary and sufficient conditions on the bilinear mapping φ for the algebra (X, φ) to have a completely isometric representation as an algebra of operators on some Hilbert space. In particular, we give an elegant geometrical characterization of such products by using the Haagerup ...

In this paper we introduce and study a bilinear spherical maximal function of product type in the spirit Calderón–Zygmund theory. This operator is different from considered by Geba et al. (Math Res Lett 20(4):675–694, 2013). We deal with lacunary full versions operator, prove weighted estimates respect to genuine weights beyond Banach range. Our results are implied sharp sparse domination for b...

The dynamic mode decomposition (DMD) is a data-driven method used for identifying the dynamics of complex nonlinear systems. It extracts important characteristics underlying using measured time-domain data produced either by means experiments or numerical simulations. In original methodology, measurements are assumed to be approximately related linear operator. Hence, discrete-time system fitte...

comparison of linear and nonlinear (bilinear) time series models in reference crop evapotranspiration prediction in urmia synoptic stationreference crop evapotranspiration (eto) prediction is one of the important elements in optimizing agricultural water consumption. in this regard, one of the prediction approaches is to use the stochastic time series methods. in this research, ar (p) and arma(...

We show that positive definite kernel functions k(x, y), if continuous and integrable along the main diagonal, coincide with kernels of positive integral operators in L2(R). Such an operator is shown to be compact; under the further assumption k(x, x) → 0 as |x| → ∞ it is also trace class and the corresponding bilinear series converges absolutely and uniformly. If k1/2(x, x) ∈ L1(R), all these ...

We construct a four-dimensional lattice gauge theory in which fermions acquire mass without breaking symmetries as result of interactions. Our model consists reduced staggered transforming the bifundamental representation an SU(2)×SU(2) symmetry. This fermion ensures that single-site bilinear terms vanish identically. A symmetric four-fermion operator is however allowed, and we give numerical r...

We extend the Rome-Southampton RI/MOM renormalization scheme for bilinear operators to one with a non-exceptional, symmetric subtraction point. Two-point Green’s function with the insertion of quark bilinear operators are computed with scalar, pseudo-scalar, vector, axial-vector and tensor operators at one-loop order in perturbative QCD. Conversion factors are derived, which connect this RI/SMO...

Generalizing the concept of time-frequency representations, Cohen has recently proposed a method, based on operator correspondence rules, for generating joint distributions of arbitrary variables. As an alternative to considering all such rules, which is a practical impossibility in general, Cohen has proposed the kernel method in which different distributions are generated from a fixed rule vi...

In this paper we consider the class of innnite-dimensional discrete-time linear systems with multiplicative random disturbances (i.e. with states multiplied by a random sequence), also known as stochastic bilinear systems. We obtain necessary and suucient conditions, in terms of an algebraic Riccati-like operator equation, for existence of a state-feedback controller that stabilizes the system ...

1 Generalizing the concept of time-frequency representations, Cohen has recently proposed a general method, based on operator correspondence rules, for generating joint distributions of arbitrary variables. As an alternative to considering all such rules, which is a practical impossibility in general, Cohen has proposed the kernel method in which diierent distributions are generated from a xed ...