Bicircular projections and characterization of Hilbert spaces

DOI10.1090/S0002-9939-04-07333-2zbMath1061.47063OpenAlexW1574273393MaRDI QIDQ4813727

László L. Stachó, Borut Zalar

Publication date: 13 August 2004

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-04-07333-2

zbMATH Keywords

Hilbert spacesskew derivations\(JB^*\)-triplesReinhardt domainsbicurcular projections

Mathematics Subject Classification ID

Jordan structures on Banach spaces and algebras (17C65) Nonassociative nonselfadjoint operator algebras (47L70)

Related Items (16)

Generalized bicircular projections on JB\(^*\)-triples ⋮ Generalized circular projections ⋮ Examples of generalized bi-circular idempotents on spaces of continuously differentiable functions ⋮ Bicircular projections on some Banach spaces ⋮ Generalized \(n\)-circular projections on JB\(^\ast\)-triples and Hilbert \(C_0(\Omega)\)-modules ⋮ Generalized tricircular projections on minimal norm ideals in \(B(\mathcal{H})\) ⋮ Generalized 𝑛-circular projections on JB*-triples ⋮ Some functional equations on standard operator algebras ⋮ On functional equation related to a class of generalized inner derivations in prime rings ⋮ On some equations in prime rings. ⋮ Projections as convex combinations of surjective isometries on \(\mathcal{C}(\varOmega)\) ⋮ Generalized bi-circular projections on \({\mathcal C}(\Omega, X)\) ⋮ Projections as averages of isometries on minimal norm ideals ⋮ Generalized bi-circular projections on minimal ideals of operators ⋮ When is a finite sum of box operators on a JB*-triple a Hermitian projection? ⋮ On Some Functional Equations in Rings

Cites Work

• Solution of the contractive projection problem
• A Riemann mapping theorem for bounded symmetric domains in complex Banach spaces
• Conditional expectation and bicontractive projections on Jordan \(C^ *\)- algebras and their generalizations
• The Gelfand-Naimark theorem for \(JB^ *\)-triples
• Compact operations, multipliers and Radon-Nikodym property in \(JB^*\)- triples
• Jordan pairs
• Determining boundary sets of bounded symmetric domains
• Symmetric continuous Reinhardt domains
• Classification of \(JBW^ *\)-triples of type I
• ON THE STRONG ^* TOPOLOGY OF A JBW^*-TRIPLE
• Contractive projections on Jordan $C^*$-algebras and generalizations.
• On the Facial Structure of the Unit Balls in a JBW^∗ -Triple and its Predual
• Classification of Continuous JBW ∗ -Triples
• The Dunford-Pettis property in Jb*-Triples
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