A note on some subspaces of an FK-space

• Autorzy: Ince, H.
• Języki publikacji: EN

Abstrakty

EN

The purpose of this paper is to give the properties of some distinguished F K spaces and to solve the problem of characterizing matrices A such that YA is Cesaro semiconservative space (for a given Y).

Słowa kluczowe

PL

przestrzeń FK; przestrzeń zachowawcza

EN

Fk-spaces; conservative spaces; semiconservative spaces

• Czasopismo: Demonstratio Mathematica
• Rocznik: 2007
• Tom: Vol. 40, nr 4
• Strony: 875-884
• Opis fizyczny: Bibliogr. 13 poz.

Twórcy

autor

Ince, H.

• Gazi University, Faculty of Sciences and Arts, Department of Mathematics, 06500 Teknikokullar, Ankara - Turkey,

Bibliografia

• [1] M. Buntinas, Convergent and bounded Cesaro sections in FK- spaces, Math. Z. 121 (1971), 191-200.
• [2] G. Goes and S. Goes, Sequences of bounded variation and sequences of Fourier coefficients, I, Math. Z. 118 (1970), 93-102.
• [3] G. Goes and S. Goes, Sequences of bounded variation and sequences of Fourier coefficients, II, J. Math. Anal. Appl. 39 (1972), 477-494.
• [4] G. Goes, Summen Von FK- Raumen. Funktionale Abschniltskonvergenz und Umkehrsatze, Tohoku Math. J. 26 (1974) , 487-504.
• [5] I. Dagadur, On some subspaces of an FK-space, Math. Comm. 7 (2002) 15-20.
• [6] H. G. Ince, Cesaro conull FK-spaces, Ph. D. Thesis, Ankara University (1998).
• [7] H. G. Ince, Cesaro semiconservative FK-spaces, submitted (2002).
• [8] H. G. Ince, Cesaro conull FK-spaces, Demonstratio Math. 33 (2000), 109-121.
• [9] A. K. Snyder, A. Wilansky, Inclusion theorems and semiconservative FK spaces, Rocky Mountain J. Math. 2 (1972), 595-603.
• [10] A. Wilansky, Modern Methods in Topological Vector Spaces, McGraw Hill 1978.
• [11] A. Wilansky, Summability Through Functional Analysis, North Holland, 1984.
• [12] A. Wilansky, Functional Analysis, Blaisdell Press, 1964.
• [13] K. Zeller, Theorie der Limitierungsverfahren, Berlin-Heidelberg-New York 1958.