Spaces of compact operators on $C({\bf 2}^{\mathfrak m} \times [0, \alpha])$ spaces

Elói Medina Galego¹

¹ Department of Mathematics University of São Paulo São Paulo, Brazil 05508-090

Colloquium Mathematicum, Tome 125 (2011) no. 2, pp. 175-181.

Résumé

We classify, up to isomorphism, the spaces of compact operators ${\mathcal K}(E, F)$, where $E$ and $F$ are the Banach spaces of all continuous functions defined on the compact spaces ${\bf 2}^{\mathfrak m} \times [0, \alpha]$, the topological products of Cantor cubes ${\bf 2}^{\mathfrak m}$ and intervals of ordinal numbers $[0, \alpha]$.

Détail

DOI : 10.4064/cm125-2-3

Keywords: classify isomorphism spaces compact operators mathcal where banach spaces continuous functions defined compact spaces mathfrak times alpha topological products cantor cubes mathfrak intervals ordinal numbers alpha