Geodesic
On pairs of Banach spaces which are isomorphic to complemented subspaces of each other
Elói Medina Galego1
1 Department of Mathematics IME, University of São Paulo São Paulo, 05508-090, Brazil
Colloquium Mathematicum, Tome 101 (2004) no. 2, pp. 279-287

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We establish the existence of Banach spaces $E$ and $F$ isomorphic to complemented subspaces of each other but with $E^m \oplus F^n$ isomorphic to $E^p \oplus F^q$, $m, n, p, q \in {\mathbb N}$, if and only if $m=p$ and $n=q$.
DOI : 10.4064/cm101-2-10
Keywords: establish existence banach spaces isomorphic complemented subspaces each other oplus isomorphic oplus mathbb only

Elói Medina Galego 1

1 Department of Mathematics IME, University of São Paulo São Paulo, 05508-090, Brazil 
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Elói Medina Galego. On pairs of Banach spaces which are isomorphic to
 complemented subspaces of each other. Colloquium Mathematicum, Tome 101 (2004) no. 2, pp. 279-287. doi: 10.4064/cm101-2-10

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