Characterization of JBW-Algebras with Strongly Facially Symmetric Predual Space
Karimbergen KudaybergenovBerdakh Karakalpak State University, Nukus, 742000, UzbekistanZh. Kh. SeipullaevBerdakh Karakalpak State University, Nukus, 742000, Uzbekistan
ABI
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.
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