The uniqueness of the complete norm topology in Banach algebras and Banach Jordan algebras

DOI10.1016/0022-1236(82)90097-0zbMath0488.46043OpenAlexW1986510406MaRDI QIDQ1166069

Bernard Aupetit

Publication date: 1982

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(82)90097-0

zbMATH Keywords

Banach latticesspectral radiusBochner integralRadon-Nikodym derivativessub-harmonicityJohnson's theorem for Banach Jordan algebrasuniqueness of norm problems for semi-simple Banach algebras

Mathematics Subject Classification ID

Banach lattices (46B42) Vector-valued measures and integration (46G10) General theory of topological algebras (46H05) Jordan structures on Banach spaces and algebras (17C65) Topological algebras, normed rings and algebras, Banach algebras (46H99)

Related Items (16)

Standard operator Jordan rings on Banach spaces, and their derivations ⋮ The uniqueness of the complete norm topology in complete normed nonassociative algebras ⋮ On Symmetry of Banach Jordan Algebras ⋮ Johnson's theorem on Banach-Jordan systems ⋮ Quantitative BT-theorem and automatic continuity for standard von Neumann algebras ⋮ Propriétés analytiques du spectre dans les algèbres de Jordan-Banach ⋮ On linear maps preserving generalized invertibility and related properties ⋮ Continuity of generalized Jordan derivations on semisimple Banach algebras ⋮ Continuous inverse algebras with involution ⋮ The structure of triple homomorphisms onto prime algebras ⋮ Automatic continuity with application to C*-algebras ⋮ A COLLECTION OF PROBLEMS ON SPECTRALLY BOUNDED OPERATORS ⋮ Unnamed Item ⋮ A Kaplansky theorem for \(JB^*\)-algebras ⋮ Uniqueness of $F$-algebra topology for commutative semisimple algebras ⋮ Spectral characterization of the radical in Banach and Jordan–Banach algebras

Cites Work

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• On Herstein's theorems relating Jordan and associative algebras
• The variation of spectra
• A Jacobson-semisimple Banach algebra with a dense nil subalgebra
• Banach Jordan ^* -Algebras
• Automatic Continuity: a Survey
• The uniqueness of the (complete) norm topology
• THE RADICAL OF A JORDAN ALGEBRA
• Jordan Homomorphisms and Derivations on Semisimple Banach Algebras
• Continuity of Derivations and a Problem of Kaplansky
• Continuity of Derivations on Commutative Algebras

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