Structure theory for noncommutative Jordan \(H^ *\)-algebras

DOI10.1016/0021-8693(87)90018-4zbMath0616.46047OpenAlexW4213290886MaRDI QIDQ1821311

José Antonio Cuenca Mira, Angel Rodriguez Palacios

Publication date: 1987

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(87)90018-4

zbMATH Keywords

coordinatization theoremH*-algebranonassociative Hilbert algebrasnoncommutative Jordan \(H^ *\)-algebrastopologically simple Jordan H*- algebras

Mathematics Subject Classification ID

Jordan structures associated with other structures (17C50) Jordan structures on Banach spaces and algebras (17C65) Nonassociative topological algebras (46H70) Hilbert algebras (46K15) Noncommutative Jordan algebras (17A15)

Related Items (21)

The uniqueness of the complete norm topology in complete normed nonassociative algebras ⋮ Bounded differential operators on Hilbert modules and derivation of structurable h^∗-algebras ⋮ Lie Isomorphisms onH*-Algebras ⋮ Continuity of derivations on Mal'cev H*-algebras ⋮ Extended centroid and central closure of semiprime normed algebras. a first approach ⋮ Jordan axioms for C*-algebras ⋮ Absolute values on h^∗-algebras ⋮ Hilbert modules revisited: orthonormal bases and Hilbert-Schmidt operators ⋮ Jacobson's theorem on derivations of primitive rings with nonzero socle: a proof and applications ⋮ The orthogonality relation classifies finite-dimensional formally real simple Jordan algebras ⋮ Mal'cev H*-algebras ⋮ Structurable \(H^*\)-algebras ⋮ Orthogonal-gradings on \(H^*\)-algebras ⋮ Algebras whose multiplication algebra is semiprime. A decomposition theorem ⋮ Pseudocomplemented semilattices, Boolean algebras, and compatible products ⋮ Continuity of homomorphism pairs into \(H^*\)-triple systems ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ NEARLY ABSOLUTE-VALUED ALGEBRAS

Cites Work

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• Real normed Jordan Banach algebras with an involution
• Structure in real Banach spaces. I and II
• Hilbert Space Methods in the Theory of Lie Algebras
• Cartan Decompositions for L ∗ -Algebras
• Structure theorems for alternative H*-algebras
• Isomorphisms of H*-algebras
• JV-algebras
• Hilbert space methods in the theory of Jordan algebras. I
• Hilbert space methods in the theory of Jordan algebras. II
• Type I Factor Representations of Non-Commutative JB^* -Algebras
• Quadratic Division Algebras
• Power-associative rings
• Structure Theorems for a Special Class of Banach Algebras

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