Limits on the real line of symmetric spaces on segments

• Published in: Український математичний журнал
• Date: 1995
• Main Authors: Kucher, О.V., Plichko, A.M.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 1995
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/156954
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Limits on the real line of symmetric spaces on segments
 / О.V. Kucher, A.M. Plichko // Український математичний журнал. — 1995. — Т. 47, № 1. — С. 46–55 — Бібліогр.: 11 назв. — англ.

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. За симетрични...