Browsing by Subject "Stability of bases"

Filter results by typing the first few letters
Now showing 1 - 1 of 1
  • Thumbnail Image
    ItemOpen Access
    On the absence of stability of bases in some Fréchet spaces
    (Springer Science and Business Media B.V., 2020-08) Goncharov, Alexander
    We show that, for each compact subset of the real line of infinite cardinality with an isolated point, the space of Whitney jets on the set does not possess a basis consisting only of polynomials. On the other hand, polynomials are dense in any Whitney space. Thus, there are no general results about stability of bases in Fréchet spaces.