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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
Mathematical Notesjournal2020en

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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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