Spectral characterization of the socle in Jordan–Banach algebras

DOI10.1017/S030500410007331XzbMath0837.46040MaRDI QIDQ4843576

Bernard Aupetit

Publication date: 17 April 1996

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

soclespectral characterizationquadratic idealsJordan-Banach algebrarank of elements

Mathematics Subject Classification ID

Jordan structures on Banach spaces and algebras (17C65) Nonassociative topological algebras (46H70)

Related Items (10)

Surjective isometries between unitary sets of unital JB\(^\ast \)-algebras ⋮ Spectral characterization of the kh-socle in Banach Jordan algebras ⋮ A spectral characterization of the socle of Banach Jordan systems ⋮ On the set of invertible elements in Banach Jordan algebras ⋮ Trace and spectrum preserving linear mappings in Jordan-Banach algebras ⋮ Perturbation theory for the socle in Banach algebras ⋮ On Aupetit’s Scarcity Theorem ⋮ Lie-Trotter formulae in Jordan-Banach algebras with applications to the study of spectral-valued multiplicative functionals ⋮ Surjective isometries between sets of invertible elements in unital Jordan-Banach algebras ⋮ Topological radicals, VI. Scattered elements in Banach Jordan and associative algebras

Cites Work

• On the socle of a noncommutative Jordan algebra
• Propriétés analytiques du spectre dans les algèbres de Jordan-Banach
• Spectral characterization of modular annihilator complex noncommutative Jordan-Banach algebras.
• A primer on spectral theory
• Propriétés spectrales des algèbres de Banach
• A characterization of the radical of a Jordan algebra
• THE SOCLE AND THE LARGEST SPECTRUM FINITE IDEAL
• Sur le Socle Dans Les Algèbres de Jordan-Banach
• Inessential Elements in Banach Algebras
• Modulap annihilator jordan algebras
• Jordan Rings with Nonzero Socle
• NONCOMMUTATIVE JORDAN RIESZ ALGEBRAS

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