A Direct Sum decomposition for Dual Spaces
We developpe a direct sum decomposition for n-dual spaces.
math.FA↗
arXiv subjects
Publications and source records attributed to Javier H. Guachalla.
We developpe a direct sum decomposition for n-dual spaces.
Given a Banach space. We show that its three times dual space can be written as a direct sum. Then being one of the sumands null is a necessary and sufficient condition for the dual space to be reflexive. We end with an application of this result to the known relationship between the reflexivity of a Banach space and that of its dual space.