Research

My research interests are in the area of Functional Analysis. They are nuclear Fréchet spaces, structure theory of Köthe spaces, spaces of Whitney functions on compact sets in R.

List of my publications

• M. Alpseymen, "A generalization of Dragilev's theorem", Journal für die reine und angewandte Mathematik, 276, 124-129 (1975).
• E. Dubinsky, N. DeGrande-DeKimpe, M. Alpseymen, "Basic sequences in some stable, nuclear L_f(b,r)-spaces", Proceedings of the Koninklijke Nederlandse Akademie van Wetenschappen, Series A (Indigationes Math.), 41, 203-215 (1979).
• M. Alpseymen, M.S. Ramanujan, T. Terzioglu, "Subspaces of some nuclear sequence spaces", Proceedings of the Koninklijke Nederlandse Akademie van Wetenschappen, Series A (Indigationes Math.), 41, 217-224 (1979).
• M. Alpseymen, "Basic sequences in stable, infinite type power series spaces", Studia Mathematica, 70, 21-26 (1981).
• M. Alpseymen, "A negative result on subspaces of a nuclear infinite type power series space", METU Journal of Pure and Applied Sciences, 17, 11-29 (1984).
• M. (Alpseymen) Kocatepe, "On Dragilev spaces and the functor Ext", Archiv der Mathematik, 44, 438-445 (1985).
• M. Kocatepe, "Some counterexamples on Dragilev spaces", Doga Turkish Journal of Mathematics, 10, 136-141 (1986).
• M. Kocatepe, "An isomorphism theorem for Dragilev spaces", Archiv der Mathematik, 50, 281-286 (1988).
• M. Kocatepe, "Classification of Dragilev spaces of type -1 and 0", Mathematica Balkanica New Series, 2, 266-275 (1988).
• M. Kocatepe, Z. Nurlu, "Some special Köthe spaces", in Advances in the theory of Fréchet spaces, ed.by T. Terzioglu (Kluwer, Dordrecht, 1989), 269-296.
• M. Kocatepe, "A note on the vanishing of the functor Ext¹ for Köthe spaces", manuscripta mathematica, 71, 113-119 (1991).
• Z. Ertugrul, M. Kocatepe, "On the existence of a pseudo-regular basis in some Köthe spaces", Turkish Journal of Mathematics, 19, 48-55 (1995).
• L. Onural, M. Kocatepe, "Family of scaling chirp functions, diffraction and holography", IEEE Transactions on Signal Processing, 43, 1568-1578 (1995).
• M. Kocatepe, V.P. Zahariuta, "Köthe spaces modeled on spaces of C infinity functions", Studia Mathematica, 121, 1-14 (1996).
• A. Goncharov, M. Kocatepe, "Isomorphic classification of the spaces of Whitney functions", Michigan Mathematical Journal, 44, 555-577 (1997).
• B. Arslan, M. Kocatepe, "An application of linear topological invariants", Turkish Journal of Mathematics, 21, 343-356 (1997).
• A. Goncharov, M. Kocatepe, "A continuum of pairwise nonisomorphic spaces of Whitney functins on Cantor-type sets", Linear Topological Spaces and Complex Analysis 3, METU-TUBITAK, 57-64 (1997).
• B. Arslan, M. Kocatepe, "The quasi-equivalence problem for a class of Köthe spaces", Note di matematica, 17, 113-120 (1997).
• B. Arslan, A. Goncharov, M. Kocatepe, "Sequence space representations of spaces of Whitney functions", Results in Mathematics, 37, 3-12 (2000).
• B. Arslan, A. Goncharov, M. Kocatepe, "Spaces of Whitney functions on Cantor-type sets", Canadian Journal of Mathematics, 54 (2), 225-238 (2002).
• M. Kesir, M. Kocatepe, "Existence of basis in some Whitney function spaces", to appear in Results in Mathematics.