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Von Neumann Algebra Preduals Satisfy the Linear Biholomorphic Property

Antonio M. Peralta, László L. Stachó


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.

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ISSN 0025-5521 (print) ISSN 1903-1807 (online)

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