Order-Unit Spaces which are Banach Dual Spaces

• Published in: Журнал математической физики, анализа, геометрии
• Date: 2006
• Main Author: Berdikulov, M.A.
• Format: Article
• Language: English
• Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2006
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/106587
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Order-Unit Spaces which are Banach Dual Spaces / M.A. Berdikulov // Журнал математической физики, анализа, геометрии. — 2006. — Т. 2, № 2. — С. 130-137. — Бібліогр.: 11 назв. — англ.

Spaces of selfadjoint elements of a C*-algebra or a von Neumann algebra, and also JB- and JBW-algebras are examples of order-unit spaces. A von Neumann algebra and a JBW-algebra possess predual spaces, but, generally speaking, a JB-algebra and a C*-algebra don't have this property. In this work...