Preduals of JBW${}^{\ast }$-triples are 1-Plichko spaces

Martin Bohata, Jan Hamhalter, Ondrej F. K. Kalenda +2

We prove that the predual, $M_{\ast }$, of a JBW${}^{\ast }$-triple $M$ is a 1-Plichko space (i.e. it admits a countably 1-norming Markushevich basis or, equivalently, it has a commutative 1-pro…