Let $X$ be a Banach space of $dim X > 2$ and $B(X)$ be the space of bounded linear operators on X. If $L : B(X)to B(X)$ be a Lie higher derivation on $B(X)$, then there exists an additive higher derivation $D$ and a linear map $tau : B(X)to FI$ vanishing at commutators $[A, B]$ for all $A, Bin B(X)$ such that $L = D + tau$.

We prove that every 2-local derivation from the algebra Mn(A)(n > 2) into its bimodule Mn(M) is a derivation, where A is a unital Banach algebra and M is a unital A-bimodule such that each Jordan derivation from A into M is an inner derivation, and that every 2-local derivation on a C*-algebra with a faithful traceable representation is a derivation. We also characterize local and 2-local Lie d...

We give a simple derivation of all n-point densities for the eigenvalues of the real Ginibre ensemble with even dimension N as quaternion determinants. A very simple symplectic kernel governs both, the real and complex correlations. 1-and2-point correlations are discussed in more detail. Scaling forms for large dimension N are derived. PACS numbers: 0250.-r, 0540.-a, 75.10.Nr Submitted to: J. P...

We consider the problem of distributed computation of the nearest lattice point for a two dimensional lattice. An interactive model of communication is considered. The problem is to bound the communication complexity of the search for a nearest lattice point. Upper bounds have been developed in two recent works [3], [16]. Here we prove the optimality of a particular step in the derivation of th...

This paper presents a derivation of a fast recursive filter for image restoration if degradation obeys a linear degradation model with the unknown possibly nonhomogeneous point-spread function. Pixels in the vicinity of steep discontinuities are left unrestored to minimize restoration blurring effect. The degraded image is assumed to follow a causal simultaneous regressive model and the point-s...

We present the derivation of an interatomic potential for the iron–phosphorus system based primarily on ab initio data. Transferability in this system is extremely problematic, and the potential is intended specifically to address the problem of radiation damage and point defects in iron containing low concentrations of phosphorus atoms. Some preliminary molecular dynamics calculations show tha...

1.0 ABSTRACT We present an improved method for directly tracing a sculptured surface. This method extends previous work by adding secondorder surface information to a closest point tracking algorithm which greatly increases the stability and also improves the accuracy of the algorithm. As part of the derivation of the new method, we examine in detail the system of equations that tracks the clos...

We give a nonrigorous derivation of the nonlinear Boltzmann equation from the Schrödinger evolution of interacting fermions. The argument is based mainly on the assumption that a quasifree initial state satisfies a property called restricted quasifreeness in the weak coupling limit at any later time. By definition, a state is called restricted quasifree if the four-point and the eight-point fun...

we investigate the stability of generalizedderivations on banach algebras with a bounded central approximateidentity. we show that every approximate generalized derivation inthe sense of rassias, is an exact generalized derivation. also thestability problem of generalized derivations on the faithful banachalgebras is investigated.

BACKGROUND AND PURPOSE Nine- and 24-point prediction scores have recently been published to predict hematoma expansion (HE) in acute intracerebral hemorrhage. We sought to validate these scores and perform an independent analysis of HE predictors. METHODS We retrospectively studied 301 primary or anticoagulation-associated intracerebral hemorrhage patients presenting <6 hours post ictus prosp...