Limits on the real line of symmetric spaces on segments

• Date: 1995
• Main Authors: Kucher, О. V., Plichko, A. M., Кучер, О. В., Плічко, А. М.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 1995
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5381
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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.