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)
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.
|Subjects:||Q Science > QA Mathematics|
|Deposited By:||Vyacheslav Zakharyuta|
|Deposited On:||19 Dec 2006 02:00|
|Last Modified:||28 Aug 2007 14:11|
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