Weakly convergent sequence coefficient of product space

Weakly Convergent Sequence Coefficient of Product Space

W. L. Bynum introduced the weakly convergent sequence coefficient WCS(A') of the Banach space X as WCS(Jf) = sup{M: for each weakly convergent sequence {xn} in X , there is some y e co({x«}) such that M • lim sup ||x,, y\\ < A({x„})} . We consider the weakly convergent sequence coefficient of the /^-product space Z = (fTjLi Xi)t of tne finite non-Schur space Xx, ... , X„ and show that WCS(Z) = ...

Some Estimates on the Weakly Convergent Sequence Coefficient in Banach Spaces

In this paper, we study the weakly convergent sequence coefficient and obtain its estimates for some parameters in Banach spaces, which give some sufficient conditions for a Banach space to have normal structure.

Some Inequalities Concerning the Weakly Convergent Sequence Coefficient in Banach Spaces

Ant Colony Optimization for Multi-objective Digital Convergent Product Network

Convergent product is an assembly shape concept integrating functions and sub-functions to form a final product. To conceptualize the convergent product problem, a web-based network is considered in which a collection of base functions and sub-functions configure the nodes and each arc in the network is considered to be a link between two nodes. The aim is to find an optimal tree of functionali...

Exponentially convergent algorithm for a second order differential equation with an operator coefficient in Banach space

We propose and justify an exponentially convergent algorithm for a second order differential equation with an operator coefficient in Banach space. A particular example of such equation is the strongly damped wave equation arising in viscoelasticity. Numerical examples are given which confirm theoretical results. AMS Subject Classification: 65J10, 65M12, 65M15, 65M06, 65M60, 46N20, 46N40, 47N20...