Department of Mathematics
Fatih University
Faculty of Arts and Sciences
34500 Buyukcekmece Istanbul
Turkey
Research Interests
Functional analysis, sum ability, sequence spaces, FKspaces, bases, dual spaces, matrix transformation, spectrum and the fine spectrum of a limitation matrix over any given sequence space, the α, β, γduals and some topological properties of the domains of some triangles in the certain spaces of single and double sequences, sets of the sequences of fuzy numbers, multiplicative calculus.
Selected Publication List
• F. Basar & A. Karaisa, Fine spectra of upper double sequential band matrices over the spaces of null, convergent and bounded sequences, Algebra and Analysis: Theory and Applications, pp. 91109, Narosa Publishing Hause, New Delhi•Chennai•Mumbai•Kalkota, India, 2015.
• M. Et & M. Mursaleen & S. A. Mohiuddine & M. Isik & J. Connor & F. Basar, Recent developments on summability theory and its applications, J. Funct. Spaces 2015. Doi: 10.1155/2015/934780.
• F. Basar & A. Karaisa, Spectrum and fine spectrum of the upper triangular tripleband matrix over some sequence spaces, AIP Conference Proceedings 1676 (2015), 020085: 110.
• F. Basar & M. Yesilkayagil, Survey on dual summability methods, AIP Conference Proceedings 1676 (2015), 020001: 113.
• U. Kadak & F. Barsar, Alternating and binomial series of fuzzy numbers with the level sets, Contemp. Anal. Appl. Math. 3(2) (2015), 310328.
• M. Yesilkayagil, & F. Basar, Four dimensional dual and dual of the new sort summability methods, Contemp. Anal. Appl. Math. 3(1) (2015), 1329.
• A. F. Cakmak & F. Basar, Some sequence spaces and matrix transformations in multiplicative sense, TWMS J. Pure Appl. Math. 6(1) (2015), 2737.
• H. Capan & F. Basar, Domain of the double band matrix defined by Fibonacci numbers in the Maddox’s space l(p), Electron. J. Math. Anal. 3(2) (2015), 3145.
• M. Yesilkayagil, & F. Basar, Spaces of Aλalmost null and Aλalmost convergent sequences, J. Egypt. Math. Soc. 23(2) (2015), 119126.
• E.S. Yilmaz & F. Basar, Some geometric properties of the domain of the triangle A in the sequence space l(p), Commun. Fac. Sci. Univ. Ankara, Ser. A1 63 (2) (2014), 163176.
