Isomorphic classification of the tensor products E(0)(exp alpha i) (circle times)over-cap E(infinity)(exp beta j)

Chalov, Peter and Zakharyuta, Vyacheslav (2011) Isomorphic classification of the tensor products E(0)(exp alpha i) (circle times)over-cap E(infinity)(exp beta j). Studia Mathematica, 204 (3). pp. 275-282. ISSN 0039-3223 (print) ; 1730-6337 (electronic)

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Abstract

It is proved, using so-called multirectangular invariants, that the condition alpha beta = (alpha) over tilde(beta) over tilde is sufficient for the isomorphism of the spaces E(0)(exp alpha i) (circle times) over cap E(infinity)(exp beta j) and E(0)(exp (alpha) over tildei) (circle times) over cap E(infinity)(exp (beta) over tildej). This solves a problem posed in [14, 15, 1]. Notice that the necessity has been proved earlier in [14].
Item Type: Article
Uncontrolled Keywords: multirectangular characteristics; tensor product; power Kothe spaces
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics
Faculty of Engineering and Natural Sciences
Depositing User: Vyacheslav Zakharyuta
Date Deposited: 09 Aug 2011 17:00
Last Modified: 29 Jul 2019 16:17
URI: https://research.sabanciuniv.edu/id/eprint/16663

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