Type: Article

Complemented ideals of l-infinity

Hrusak, Michael; Sáenz, Luis;

Abstract:

Answering questions raised by Leonetti and by Rincón-Villamizar and Uzcátegui-Aylwin we characterize ideals I?P(?) such that c0,I is complemented in ?? as exactly those ideals for which the space KI=Stone(P(?)/I) is approximable, i.e., the unit ball of the space M(KI) of signed Radon measures on KI is separable in the weak? topology.