An Analysis upon the Asymptotic Structure of Banach Spaces: A Case Study of Envelope Functions | Original Article

ABSTRACT:

This research studies the asymptotic structures of Banach spaces through the notion of envelope functions. Analogous to the original ones, a new notion of disjoint-envelope functions is introduced and the properties of these functions in connection to the asymptotic structures are studied. The main result gives a new characterization of asymptotic- spaces in terms of the -behavior of disjoint-permissible vectors of constant coefficients.