motivated by an arens regularity problem, we introduce the concepts of matrix banach space and matrix banach algebra. the notion of matrix normed space in the sense of ruan is a special case of our matrix normed system. a matrix banach algebra is a matrix banach space with a completely contractive multiplication. we study the structure of matrix banach spaces and matrix banach algebras. then we...

Predicting Adolescents’ Self-Differentiation and Attachment Styles Based on Family Flexibility, Parents’ Level of Self-Differentiation and Parental Attachment Styles F. Asl Dehghan, M.A. H. Rezaian, Ph.D. S. Hosseinian, Ph.D. The main purpose of the present study was to determine the role of family flexibility, parents’ level of self-differentiation, and pa...

First, the equations for calculating the full mass, stiffness and damping matrices from modal data are derived. This deviation was first presented in [1]. However, these equations are difficult to solve because the first step of their solution requires matrix inversion of the flexibility matrix to obtain the stiffness matrix. Not only does matrix inversion amplify errors, but the number of line...

A valveless electromagnetic (EM) micropump with a matrix-patterned magnetic polymer composite actuator membrane structure was successfully designed and fabricated. The composite membrane structure is made of polydemethylsiloxane (PDMS) that is mixed with magnetic particles and patterned in matrix blocks. The matrix magnetic composite membrane was fabricated using a soft lithography process and ...

Motivated by an Arens regularity problem, we introduce the concepts of matrix Banach space and matrix Banach algebra. The notion of matrix normed space in the sense of Ruan is a special case of our matrix normed system. A matrix Banach algebra is a matrix Banach space with a completely contractive multiplication. We study the structure of matrix Banach spaces and matrix Banach algebras. Then we...

To think quantitatively about comovement, we specify the model of Section I. We use a CES production function for one final good. 42 Thus, we can solve the structure of this economy in closed form, and quantify its comovement. Our model differs in a series of small ways from 43 Its main virtue is that it is solvable in closed form, so that the mechanisms are fairly transparent.

nanocomposites made of carbon nanotube (cnt) bundles have attracted researchers’ attention due to their unusual properties such as: light weight, flexibility and stiffness.  in this paper, the effects of straight and rope-shaped bundles on nanocomposite effective mechanical properties are investigated.  first, fea models are created consisting of cnts with different shapes of straight and rope-...

We introduce efficient Markov chain Monte Carlo methods for inference and model determination in multivariate and matrix-variate Gaussian graphical models. Our framework is based on the G-Wishart prior for the precision matrix associated with graphs that can be decomposable or non-decomposable. We extend our sampling algorithms to a novel class of conditionally autoregressive models for sparse ...