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A complete classification of the spaces of compact operators on $C([1,\alpha ], l_{p})$ spaces, $1<p< \infty $

A complete classification of the spaces of compact operators on $C([1,\alpha ], l_{p})$ spaces, $1<p< \infty $

We complete the classification, up to isomorphism, of the spaces of compact operators on $C([1, \gamma ], l_{p})$ spaces, $1<p< \infty$. In order to do this, we classify, up to isomorphism, the spaces of compact operators ${\mathcal K}(E, F)$, where $E= C([1, \lambda ], l_{p})$ and $F=C([1, \xi ], l_q)$ …