An isometrically universal Banach space induced by a non-universal Boolean algebra
An isometrically universal Banach space induced by a non-universal Boolean algebra
Given a Boolean algebra $A$, we construct another Boolean algebra $B$ with no uncountable well-ordered chains such that the Banach space of real-valued continuous functions $C(K_A)$ embeds isometrically into $C(K_B)$, where $K_A$ and $K_B$ are the Stone spaces of $A$ and $B$, respectively. As a consequence we obtain the following: …