We present an extension of the classical isomorphic classification of the Banach spaces C([0, α]) of all real continuous functions defined on the nondenumerable intervals of ordinals [0, α]. As an application, we establish the isomorphic classification of the Banach spaces C(2m x [0, α]) of all real continuous functions defined on the compact spaces 2m x [0, α], the topological product of the Cantor cubes 2m with m smaller than the first sequential cardinal, and intervals of ordinal numbers [0, α]. Consequently, it is relatively consistent with ZFC that this yields a complete isomorphic classification of C(2m x [0, α]) spaces.
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.