in this paper, we study the arens regularity properties of module actions and we extend some proposition from baker, dales, lau and others into general situations. we establish some relationships between the topological centers of module actions and factorization properties of them with some results in group algebras. in 1951 arens shows that the second dual of banach algebra endowed with the e...

In this paper, we define a new concept of factorization for a bounded bilinear mapping $f:Xtimes Yto Z$, depended on  a natural number $n$ and a cardinal number $kappa$; which is called $n$-factorization property of level $kappa$. Then we study the relation between $n$-factorization property of  level $kappa$ for $X^*$ with respect to $f$ and automatically boundedness and $w^*$-$w^*$-continuity...

Let $(e_j)_{j=1}^\infty $ denote a Schauder basis for Banach space $X$, and let $(e_j^*)_{j=1}^\infty the biorthogonal functionals. We say that has factorization property if identity operator $I_{X^*}$ on $X^

Using a simple field-theoretic model we show that, in the zero binding limit, the relativistic deuteron wave function has a cluster decomposition; i.e., factors into two separate nucleon wave functions convoluted with a body wave function. The framework of the calculation is a Fock state expansion at equal time on the light-cone. Assuming a quark interchange mechanism, we then derive the deuter...