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      Existence of basis in some Whitney spaces

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      Author
      Keşir, Mustafa
      Advisor
      Kocatepe, Mefharet
      Date
      2003
      Publisher
      Bilkent University
      Language
      English
      Type
      Thesis
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      Abstract
      Existence of basis in locally convex spaces has been a hot subject in functional analysis for more than 40 years. We will give some partial solutions to this well-known problem. We will demonstrate two cases of Cantor-type sets with extension property under some special cases. These sets are KN with (DN) where lim sup αn < N and K∞ with (DN) where lim sup αn < ∞.
      Keywords
      Schauder basis
      β and diametral dimension
      (Ω)
      topological invariants (DN)
      Cantor-type sets
      Whitney spaces
      power series space of infinite type
      nuclear Fr´echet space
      Permalink
      http://hdl.handle.net/11693/29338
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      • Dept. of Mathematics - Master's degree 125
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