This paper focuses on certain finite dimensional point derivations for the non-selfadjoint operator algebras corresponding to directed graphs. We begin by analyzing the derivations corresponding to full matrix representations of the tensor algebra of a directed graph. We determine when such a derivation is inner, and describe situations that give rise to non-inner derivations. We also analyze t...

The first law of black hole mechanics was derived by Wald in a general covariant theory of gravity for stationary variations about a stationary black hole. Although it has many advantages, there are several ambiguous points in the derivation. In this paper we point out them and give a clearer derivation of it. After that, we show that there remains a problem when we consider non-stationary pert...

It is shown how parsing can be described as a problem in the class isbes, Intersections of Sets and Bags of Extended Substructures, defined in an earlier paper, by viewing parsing as a generalization of pattern matching in several ways. The resulting description is shown to be a good starting point for the transformational derivation of the CockeKasami-Younger tabular parsing algorithm that fol...

following our previous presentation of a new three-fold symmetry for derivation of the magic numbers of nuclei based upon a quark state model of nuclei, here the nuclear binding energy is obtained from such new perspective. from this point of view, since each nucleon is made of three quarks, the binding energy of nuclei contains a volume term proportional to 3a (a is mass number). by considerin...

We present a systematic derivation for a general formula for the n-point coupling constant valid for affine Toda theories related to any simple Lie algebra g. All n-point couplings with n ≥ 4 are completely determined in terms of the masses and the three-point couplings. A general fusing rule, formulated in the root space of the Lie algebra, is derived for all n-point couplings.

In this note we show that the bilocal *-automorphisms of the C∗-algebra B(H) of all bounded linear operators acting on a complex infinite dimensional separable Hilbert space H are precisely the unital algebra *-endomorphisms of B(H). The study of local derivations of operator algebras has been initiated by Kadison [5] and Larson and Sourour [8]. A linear map ∆ on an algebra is called a local de...