ON CERTAIN SUB-SPACE OF X

A new sequence space and norm of certain matrix operators on this space

In the present paper, we introduce the sequence space [{l_p}(E,Delta) = left{ x = (x_n)_{n = 1}^infty : sum_{n = 1}^infty left|  sum_{j in {E_n}} x_j - sum_{j in E_{n + 1}} x_jright| ^p < infty right},] where $E=(E_n)$ is a partition of finite subsets of the positive integers and $pge 1$. We investigate its topological properties and inclusion relations. Moreover, we consider the problem of fin...

effect of sub-grid scales on large eddy simulation of particle deposition in a turbulent channel flow

چکیده ندارد.

Existence of an Algebra Norm on Certain Subalgebras of C(X)

On certain equivalent norms on Tsirelson’s space

It remains open an important question as to whether or not there exists a distortable Banach space which is not arbitrarily distortable. The primary candidate for such a space is Tsirelson’s space T . While it is not difficult to directly define, for every 1 < λ < 2, an equivalent norm on T which is a λ-distortion, T does not belong to any general class of Banach spaces known to be arbitrarily ...

On some properties of the hyperspace $theta (X)$ and the study of the space $downarrowtheta C(X)$

The aim of the paper is to first investigate some properties of the hyperspace $theta(X)$, and then in the next article it deals with some detailed study of a special type of subspace $downarrowtheta C(X)$ of the space $theta (Xtimes mathbb I)$.