Browsing by Subject "Quasi-equivalence"
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Item Open Access Quasi-equivalence of bases in some Whitney spaces(Cambridge University Press, 2021-05-18) Goncharov, Alexander; Şengül, YaseminIf the logarithmic dimension of a Cantor-type set K is smaller than 1 , then the Whitney space E(K) possesses an interpolating Faber basis. For any generalized Cantor-type set K, a basis in E(K) can be presented by means of functions that are polynomials locally. This gives a plenty of bases in each space E(K) . We show that these bases are quasi-equivalent.Item Open Access The quasi-equivalence problem and isomorphic classification of Whitney spaces(1999) Arslan, BoraWe proved that the quasi-equivalence property holds in a subclass of the class of stable nuclear Frechet, Kothe spaces. Also we considered the isomorphic classification of spaces of Whitney functions on some special compact sets in R. As a tool we use linear topological invariants and obtain some conditions.