let $mathcal m$ be a factor von neumann algebra. it is shown that every nonlinear $*$-lie higher derivation$d={phi_{n}}_{ninmathbb{n}}$ on $mathcal m$ is additive. in particular, if $mathcal m$ is infinite type $i$factor, a concrete characterization of $d$ is given.

Let $mathfrak{A}$ be a Banach algebra. We say that a sequence ${D_n}_{n=0}^infty$ of continuous operators form $mathfrak{A}$ into $mathfrak{A}$ is a textit{local higher derivation} if to each $ainmathfrak{A}$ there corresponds a continuous higher derivation ${d_{a,n}}_{n=0}^infty$ such that $D_n(a)=d_{a,n}(a)$ for each non-negative integer $n$. We show that if $mathfrak{A}$ is a $C^*$-algebra t...

The Lie derivation of multivector fields along multivector fields has been introduced by Schouten (see cite{Sc, S}), and studdied for example in cite{M} and cite{I}. In the present paper we define the Lie derivation of differential forms along multivector fields, and we extend this concept to covariant derivation on tangent bundles and vector bundles, and find natural relations between them and...

let $mathcal{a}$ be a banach algebra and $mathcal{m}$ be a banach $mathcal{a}$-bimodule. we say that a linear mapping $delta:mathcal{a} rightarrow mathcal{m}$ is a generalized $sigma$-derivation whenever there exists a $sigma$-derivation $d:mathcal{a} rightarrow mathcal{m}$ such that $delta(ab) = delta(a)sigma(b) + sigma(a)d(b)$, for all $a,b in mathcal{a}$. giving some facts concerning general...

Most of the double-counting formulas were historically derived by approximating the Hubbard interaction term (defined with the help of matrix elements Eq. 33) by some static approximation, either in the atomic limit, or, in Hartree-Fock limit. Such static approximations were argued to be a good substitute for the LDA treatment of the Hubbard interaction. Hence, the problem arrose, because it is...

PROOF: Let {wt , bt}∞t=0 denote the set of contracts in the optimal hybrid equilibrium, and let et denote the effort implemented at t (note that {wt , bt} is offered and accepted provided that the principal has not defaulted at any τ < t). Obviously, u0 = ū 1−δ must hold, otherwise w0 can be reduced by a small amount and make both types better off. Next, suppose towards a contradiction that ut+...

Las técnicas de secado Ventana Refractancia (VR) y Fritura con Aire Caliente (AF), permiten obtener snacks frutas alta calidad nutricional fisicoquímica. El propósito este trabajo fue evaluar las WR-AF para “snacks” piña deshidratada. Se emplearon trozos la variedad MD2 geometría triangular (40 mm lado 4 espesor). En el por WR se tres temperaturas (70, 80 90 °C). Para cada temperatura modeló ci...

The double impulse is introduced as a substitute of the fling-step near-fault ground motion. A closed-form solution of the elastic–plastic response of a structure on compliant (flexible) ground by the “critical double impulse” is derived for the first time based on the solution for the corresponding structure with fixed base. As in the case of fixed-base model, only the free vibration appears u...

Abstract. In this paper we shall develop a theory of (extended) double shuffle relations of Euler sums which generalizes that of multiple zeta values (see Ihara, Kaneko and Zagier, Derivation and double shuffle relations for multiple zeta values. Compos. Math. 142 (2)(2006), 307–338). After setting up the general framework we provide some numerical evidence for our two main conjectures. At the ...