Von Neumann Algebra Preduals Satisfy the Linear Biholomorphic Property

• Autores: Antonio Miguel Peralta Pereira , László L. Stachó
• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 118, Nº 2, 2016, págs. 277-284
• Idioma: inglés
• DOI: 10.7146/math.scand.a-23689
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• Resumen

  • We prove that for every $\mathrm{JBW}^*$-triple $E$ of rank $>1$, the symmetric part of its predual reduces to zero. Consequently, the predual of every infinite dimensional von Neumann algebra $A$ satisfies the linear biholomorphic property, that is, the symmetric part of $A_*$ is zero.