Jordan weak amenability and orthogonal forms on JB*-algebras

2014/11/11 by Jamjoom, Fatmah B., Peralta, Antonio M., Siddiqui, Akhlaq A. · 1 citation
#FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.1411.2712

Abstract

We prove the existence of a linear isometric correspondence between the Banach space of all symmetric orthogonal forms on a JB^*-algebra J and the Banach space of all purely Jordan generalized derivations from J into J^*. We also establish the existence of a similar linear isometric correspondence between the Banach spaces of all anti-symmetric orthogonal forms on J, and of all Lie Jordan derivations from J into J^*.

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