Isomorphic classification of the tensor products $
E_{0}( \exp \alpha i)\mathbin{ \widehat{\otimes }}E_{\infty }( \exp\beta j) $
Studia Mathematica, Tome 204 (2011) no. 3, pp. 275-282
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
It is proved, using so-called multirectangular invariants, that the
condition $\alpha \beta =\tilde{\alpha}\tilde{\beta}$ is sufficient for the
isomorphism of the spaces $E_{0}(\exp \alpha i)\mathbin{\widehat{\otimes}}E_{\infty }(\exp
\beta j)$ and $E_{0}(\exp \tilde{\alpha}i)\mathbin{\widehat{\otimes}}E_{\infty }(\exp
\tilde{\beta}j)$. This solves a problem posed in [14, 15, 1].
Notice
that the necessity has been proved earlier in [14].
Keywords:
proved using so called multirectangular invariants condition alpha beta tilde alpha tilde beta sufficient isomorphism spaces exp alpha mathbin widehat otimes infty exp beta exp tilde alpha mathbin widehat otimes infty exp tilde beta solves problem posed notice necessity has proved earlier
Affiliations des auteurs :
Peter Chalov 1 ; Vyacheslav Zakharyuta 2
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Peter Chalov; Vyacheslav Zakharyuta. Isomorphic classification of the tensor products $
E_{0}( \exp \alpha i)\mathbin{ \widehat{\otimes }}E_{\infty }( \exp\beta j) $. Studia Mathematica, Tome 204 (2011) no. 3, pp. 275-282. doi: 10.4064/sm204-3-6
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