On an analog of the Peirce decomposition
type: Item
instance of: scholarly article
title: On an analog of the Peirce decomposition
zbMATH Open document ID: 0938.46054
DOI: 10.1007/BF02679747
published in: Siberian Mathematical Journal
publication date: 1999-10-28T00:00:00Z
review text: Using the Jordan analogs of annihilators, the author gives equivalent algebraic conditions each of which may serve as a definition of \(AJW\)-algebra. Some theorem is established that replaces Albert's theorem in the case of general \(JB\)-algebras and generalizes the latter to some extent.
Mathematics Subject Classification ID: 46L70
Mathematics Subject Classification ID: 46L35
Mathematics Subject Classification ID: 17C65
zbMATH DE Number: 1354007
zbMATH Keywords: \(JB\)-algebra
zbMATH Keywords: projection
zbMATH Keywords: factor
zbMATH Keywords: \(AJW\)-algebra
zbMATH Keywords: Jordan analogs of annihilators
zbMATH Keywords: Albert's theorem
author: Farhodjon Arzikulov
reviewed by: S. S. Kutateladze
MaRDI profile type: Publication
cites work: On abstract \(JW\)-algebras
cites work: Q3766320
cites work: Jordan algebras of self-adjoint operators
cites work: A Gelfand-Neumark theorem for Jordan algebras
description: scientific article; zbMATH DE number 1354007