Limits on the real line of symmetric spaces on segments

Abstract

In the same way as the known spacesM _p ,M _p , andI _p are constructed on the basis of the spaceL _p (−1, 1), we construct the corresponding “limit” spacesM _E ,M _E , andI _E on the real line on the basis of a symmetric function spaceE on a segment and study some of their Banach properties.