On isomorphic classifications of spaces of compact operators
On isomorphic classifications of spaces of compact operators
We prove an extension of the classical isomorphic classification of Banach spaces of continuous functions on ordinals. As a consequence, we give complete isomorphic classifications of some Banach spaces ${\mathcal K}(X, Y^{\eta })$, $\eta \geq \omega$, of compact operators from $X$ to $Y^{\eta }$, the space of all continuous $Y$-valued …