Von Neumann regularity and quadratic conorms in JB\(^*\)-triples and C\(^*\)-algebras

DOI10.1007/s10114-007-0985-xzbMath1157.46042OpenAlexW2075198186MaRDI QIDQ925941

Antonio Morales Campoy, Maribel Ramírez, Antonio M. Peralta, El Amin Mokhtar Kaidi, María J. Burgos

Publication date: 26 May 2008

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-007-0985-x

zbMATH Keywords

von Neumann regularitytriple spectrumC\(^*\)-algebraJB\(^*\)-triplequadratic conorm

Mathematics Subject Classification ID

Linear operators on Banach algebras (47B48) Structure theory for Jordan algebras (17C10) Nonassociative selfadjoint operator algebras (46L70)

Related Items (12)

Surjective isometries between unitary sets of unital JB\(^\ast \)-algebras ⋮ Pointwise-generalized-inverses of linear maps between C^*-algebras and JB^*-triples ⋮ Linear maps between \(C^*\)-algebras preserving extreme points and strongly linear preservers ⋮ A projection-less approach to Rickart Jordan structures ⋮ Weakly compact orthogonality preservers on C\(^*\)-algebras ⋮ Strongly preserver problems in Banach algebras and \(C^{\ast}\)-algebras ⋮ Orthogonality preservers in C\(^*\)-algebras, JB\(^*\)-algebras and JB\(^*\)-triples ⋮ Inner ideals, compact tripotents and Chebyshev subtriples of \(\mathrm{JB}^*\)-triples and \(\mathrm C^*\)-algebras ⋮ The \(\lambda \)-function in the space of trace class operators ⋮ Approximate preservers on Banach algebras and \(C^*\)-algebras ⋮ On the geometry of the unit ball of a \(J B^{*}\)-triple ⋮ Chebyshev subspaces of JBW\(^{\ast}\)-triples

Cites Work

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• Geometric characterization of tripotents in real and complex JB\(^{*}\)-triples
• A Riemann mapping theorem for bounded symmetric domains in complex Banach spaces
• The Gelfand-Naimark theorem for \(JB^ *\)-triples
• Jordan pairs
• The reduced minimum modulus
• Strong regularity and generalized inverses in jordan systems
• STRONG REGULARITY AND HERMITIAN HILBERT TRIPLES
• On generalized inverses in C*-algebras
• Generalized inverses in C*-algebras II
• On Grassmannians associated with JB\(^*\)-triples

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