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Characterization of JBW-Algebras with Strongly Facially Symmetric Predual Space.

Authors :
Kudaybergenov, K. K.
Seipullaev, Zh. Kh.
Source :
Mathematical Notes. Mar2020, Vol. 107 Issue 3/4, p600-608. 9p.
Publication Year :
2020

Abstract

The present paper is devoted to the study of predual spaces of JBW-algebras. It is proved that the predual space of a JBW-algebra is a strongly facially symmetric space if and only if this algebra is the direct sum of an Abelian algebra and an algebra of type I2. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*ALGEBRA
*SYMMETRIC spaces

Details

Language :
English
ISSN :
00014346
Volume :
107
Issue :
3/4
Database :
Academic Search Index
Journal :
Mathematical Notes
Publication Type :
Academic Journal
Accession number :
142867151
Full Text :
https://doi.org/10.1134/S000143462003027X