A note on isomorphisms between powers of Banach spaces
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Autores: Juan Carlos Díaz Alcaide
- Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 38, Fasc. 2, 1987, págs. 137-140
- Idioma: inglés
- Títulos paralelos:
- Una nota sobre isomorfismos entre potencias de especies de Banach
- Enlaces
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Resumen
We are concerned with the following problem: "Let $E$ and $F$ be Banach spaces such that $E^I$ is isomorphic to $F^I$ for some infinite set $I$. Then, when does it follow that $E$ is isomorphic to $F$?". Here, we provide a partial answer to this problem and characterize the Banach spaces $E$ which are isomorphic to any $F$ whenever $F^\mathbb{N}$ is isomorphic to $E^\mathbb{N}$
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