Existence of basis in some Whitney spaces
Author
Keşir, Mustafa
Advisor
Kocatepe, Mefharet
Date
2003Publisher
Bilkent University
Language
English
Type
ThesisItem Usage Stats
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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 basisβ and diametral dimension
(Ω)
topological invariants (DN)
Cantor-type sets
Whitney spaces
power series space of infinite type
nuclear Fr´echet space