On basis structure of power Köthe spaces of the first type

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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
Divisions: Faculty of Engineering and Natural Sciences
Depositing User: Vyacheslav Zakharyuta
Date Deposited: 19 Dec 2006 02:00
Last Modified: 26 Apr 2022 08:03
URI: https://research.sabanciuniv.edu/id/eprint/210

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