using the hyers-ulam-rassias stability method, weinvestigate isomorphisms in banach algebras and derivations onbanach algebras associated with the following generalized additivefunctional inequalitybegin{eqnarray}|af(x)+bf(y)+cf(z)|  le  |f(alpha x+ beta y+gamma z)| .end{eqnarray}moreover, we prove the hyers-ulam-rassias stability of homomorphismsin banach algebras and of derivations on banach ...

A bstract We investigate the breakdown of magneto-hydrodynamics at low temperature ( T ) with black holes whose extremal geometry is AdS 2 ×R . The identified by equilibration scales ω eq , k defined as collision point between diffusive hydrodynamic mode and longest-lived non-hydrodynamic mode. show determined diffusion constant D scaling dimension ∆(0) an infra-red operator: = πT $$ {k}_{\math...

AR177 is a 17-mer oligonucleotide that has anti-human immunodeficiency virus activity in vitro. The disposition of internally labeled 33P-AR177 was studied after the tail vein injection of single and multiple doses (0.7 mg/kg) to rats. After a single dose, the terminal half-life of AR177 in the blood and plasma was 367 and 271 hr, respectively, significantly longer than values reported for othe...

In this paper, we generalize some results from Hilbert C*-modules to pro-C*-algebra case. We also give a new proof of the known result that l2(A) is aHilbert module over a pro-C*-algebra A.

In this paper we shall study the multipliers on Banach algebras and We prove some results concerning Arens regularity and amenability of the Banach algebra M(A) of all multipliers on a given Banach algebra A. We also show that, under special hypotheses, each Jordan multiplier on a Banach algebra without order is a multiplier. Finally, we present some applications of m...

Let K be a (commutative) locally compact hypergroup with a left Haar measure. Let L1(K) be the hypergroup algebra of K and UCl(K) be the Banach space of bounded left uniformly continuous complex-valued functions on K. In this paper we show, among other things, that the topological (algebraic) center of the Banach algebra UCl(K)* is M(K), the measure algebra of K.

BACKGROUND Empathy plays a key role in social understanding, but its empirical measurement has proved difficult. The Empathy Quotient (EQ) is a self-report scale designed to do just that. This series of four studies examined the reliability and validity of the EQ and determined its factor structure. METHOD In Study 1, 53 people completed the EQ, Social Desirability Scale (SDS) and a non-verba...