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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Official URL: http://dx.doi.org/10.4064/sm204-3-6

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
ID Code:	16663
Deposited By:	Vyacheslav Zakharyuta
Deposited On:	09 Aug 2011 17:00
Last Modified:	15 Aug 2011 11:38

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