Non-Associative Normed Algebras Spanned by Hermitian Elements

DOI10.1112/plms/s3-47.2.258zbMath0521.47036OpenAlexW2071820688MaRDI QIDQ3670025

Angel Rodriguez Palacios

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1112/plms/s3-47.2.258

zbMATH Keywords

Hermitian elementsassociative Vidav-Palmer theoremunital complete normed complex nonassociative algebraunital noncommutative JB*- algebrasV-algebra

Mathematics Subject Classification ID

Jordan structures on Banach spaces and algebras (17C65) Other nonassociative rings and algebras (17D99) Nonlinear operators and their properties (47H99)

Related Items (19)

The uniqueness of the complete norm topology in complete normed nonassociative algebras ⋮ Commutativity ofC*-algebras and associativity ofJB*-algebras ⋮ Prime jordan-banch algebras with nonzero socle ⋮ Grothendieck's theorem and factorization of operators in Jordan triples ⋮ A non-smooth extension of Frechet differentiability of the norm with applications to numerical ranges ⋮ Approximately norm-unital products on \(C^{\ast}\)-algebras, and a non-associative Gelfand-Naimark theorem ⋮ Some classes of pre-Hilbert algebras with norm-one central idempotent ⋮ Conditional expectations in complete normed complex algebras satisfying the von Neumann inequality ⋮ Real Positive Maps and Conditional Expectations on Operator Algebras ⋮ Isometric reflections on Banach spaces after a paper of A. Skorik and A. Zaidenberg: ``On isometric reflections in Banach spaces. ⋮ On multiplicatively closed subsets of normed algebras ⋮ Geometrical properties of the product of a \(C^*\)-algebra ⋮ Jordan Banach algebras satisfying \(\|x\|\|x^{-1}\| =1\) ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unit-free contractive projection theorems for \(C^\ast\)-, \(JB^\ast\)-, and \(JB\)-algebras ⋮ New associative and nonassociative Gelfand-Naimark theorems ⋮ Isomorphisms of H*-algebras

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