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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 2008 Volume 83, Issue 4, Pages 629–635 (Mi mzm4571)

This article is cited in 2 papers

Tensor Products of Power Köthe Spaces of Different Types

P. A. Chalov

Rostov State University

Abstract: The multirectangular characteristics $\mu_m^{(\lambda,c)}$ are applied to the isomorphic classification of tensor products of the form $E_0(a)\mathbin{\widehat\otimes} E_\infty(b)$. We single out a subclass of tensor products such that the two-rectangular characteristic $\mu_2^{(\lambda,c)}$ is a complete invariant on this class.

Keywords: power Köthe space, tensor product, lacunary sequence, Cantor–Bernstein construction, Fréchet space, Montel space, prenorm.

UDC: 513.88

Received: 18.12.2006

DOI: 10.4213/mzm4571


 English version:
Mathematical Notes, 2008, 83:4, 573–578

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© Steklov Math. Inst. of RAS, 2024