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)
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.
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