Some properties of the β-dual spaces of vector sequence spaces

In this paper, we investigate some properties related to the gliding hump property in vector sequence spaces and their beta-dual spaces. We give some sufficient conditions for elements in the beta-dual E-beta Y of a vector sequence space E to be sequentially continuous and explore the relationship between the gliding hump property of a vector sequence space E and the uniform boundedness of a family of elements in its beta-dual E-beta Y.