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On basis structure of power Köthe spaces of the first type

Chalov, P. and Zakharyuta, Vyacheslav (2006) On basis structure of power Köthe spaces of the first type. (Accepted/In Press)

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Abstract

It is proved that Montel power Köthe spaces of the first type [5,8] have the structure of basis subspaces of the finite or infinite type invariant under isomorphisms, which strengthens authors’ previous results (joint with T. Terzioğlu) [18,19]. The main tools are special compound linear topological invariants, which evaluate classical geometric characteristic (namely inverse Bernstein diameters) of certain invariant multi-parameter constructions built from given bases of neighborhoods or bounded sets.

Item Type:Article
Subjects:Q Science > QA Mathematics
ID Code:210
Deposited By:Vyacheslav Zakharyuta
Deposited On:19 Dec 2006 02:00
Last Modified:28 Aug 2007 14:11

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