Keşir, Mustafa2016-07-012016-07-012003http://hdl.handle.net/11693/29338Cataloged from PDF version of article.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 < ∞.vi, 41 leaves, 30 cmEnglishinfo:eu-repo/semantics/openAccessSchauder basisβ and diametral dimension(Ω)topological invariants (DN)Cantor-type setsWhitney spacespower series space of infinite typenuclear Fr´echet spaceQA322 .K47 2003Schauder bases.ThesisBILKUTUPB071968