Grothendieck's theorem and factorization of operators in Jordan triples

DOI10.1007/BF01443503zbMath0648.46059MaRDI QIDQ1105159

G. Loupias, Cho-Ho Chu, Bruno Iochum

Publication date: 1989

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164538

zbMATH Keywords

Grothendieck's theorem for \(JB^*\)-triplesPisier's factorization theorem

Mathematics Subject Classification ID

Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) General theory of (C^*)-algebras (46L05) Nonassociative selfadjoint operator algebras (46L70)

Related Items (5)

The Daugavet equation for polynomials on \(\mathrm{C}^\ast\)-algebras and \(\mathrm{JB}^\ast\)-triples ⋮ Grothendieck’s inequalities for JB$^*$-triples: Proof of the Barton–Friedman conjecture ⋮ Aron-Berner extensions of triple maps with application to the bidual of Jordan Banach triple systems ⋮ Sesquilinear forms of Jordan triple systems. ⋮ Jordan weak amenability and orthogonal forms on \(\mathrm{JB}^*\)-algebras

Cites Work

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• The complex convexity of quasi-normed linear spaces
• A Riemann mapping theorem for bounded symmetric domains in complex Banach spaces
• The Grothendieck inequality for bilinear forms on \(C^*\)-algebras
• Factorization of operators through \(L_{p\infty}\) or \(L_{p1}\) and non- commutative generalizations
• Weakly compact operators on Jordan triples
• The Gelfand-Naimark theorem for \(JB^ *\)-triples
• Some applications of the complex interpolation method to Banach lattices
• Noncommutative Jordan C*-algebras
• Une nouvelle classe d'espace de Banach vérifiant le théorème de Grothendieck
• Jordan \(C^*\)-algebras
• Grothendieck's theorem for noncommutative \(C^*\)-algebras, with an appendix on Grothendieck's constants
• On a class of interpolation spaces
• On subspaces of L\(^p\)
• Complete holomorphic vector fields on the second dual of Banach space.
• Non-Associative Normed Algebras Spanned by Hermitian Elements
• Absolutely Continuous Operators and Super-Reflexivity
• Grothendieck's Inequality for JB ^∗ -Triples and Applications
• A Generalization of C^* -Algebras
• Isomorphic characterizations of inner product spaces by orthogonal series with vector valued coefficients

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