On spaces of compact operators on $C(K, X)$ spaces
On spaces of compact operators on $C(K, X)$ spaces
This paper concerns the spaces of compact operators ${\mathcal K}(E, F)$, where $E$ and $F$ are Banach spaces $C([1, \xi ], X)$ of all continuous $X$-valued functions defined on the interval of ordinals $[1, \xi ]$ and equipped with the supremun norm. We provide sufficient conditions on $X$, $Y$, $\alpha$, …