Vector-valued FK-spaces defined by a modulus function

• Autorzy: Yilmaz Y. , Solak I.
• Języki publikacji: EN

Abstrakty

EN

We introduced and investigated the sequence space lambda (Xk,r,f,s) defined by a modulus function f, and constructed its FK-structure under some conditions. Also we exposed some inclusion relations among the variations of the space.

Słowa kluczowe

EN

FK-space; sequences; modulus function; sequence space; paranormed spaces

PL

ciągi; funkcja modułowa; przestrzeń FK

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2005
• Tom: Vol. 38, nr 3
• Strony: 633--640
• Opis fizyczny: Bibliogr. 9 poz.

Twórcy

autor

Yilmaz Y.

• Inonu Univ., Faculty of Science and Art, Department of Mathematics, 44100 Malatya, Turkey

autor

Solak I.

• Inonu Univ., Faculty of Science and Art, Department of Mathematics, 44100 Malatya, Turkey

Bibliografia

• [1] E. Bulut, Ö. Çakar, The sequence space l(p,s) and related matrix transformations, Commun. Fac. Sci. Univ. Ankara, Ser. A1, Math. Stat. 28, (1979), 33-44.
• [2] P. K. Kamthan and M. Gupta, Sequence Spaces and Series, Marcel Dekker, Inc., New York and Basel, 1981.
• [3] I. J. Maddox, Sequence spaces defined by a modulus, Math. Proc. Camb. Phil. Soc., 100, (1986), 161-166.
• [4] H. Nakano, Concave modulares, J. Math. Loc. Japan, Vol. 5, (1953), 29-49.
• [5] W. H. Ruckle, FK-spaces in which the sequence of coordinate vectors is bounded, Can. J. Math, Vol. 25(5), (1973), 973-978.
• [6] D. Ghosh and P. D. Srivastava, On some vector valued sequence spaces defined using a modulus function, Indian J. Pure Appl. Math., Vol. 30(8), (1999), 819-826.
• [7] S. Simons, The sequence spaces l(pv) and m(pv), Proc. London Math. Soc. (3)15, (1965), 422-436.
• [8] A. Wilansky, Modern Methods in Topological Vector Spaces; McGraw Hill Inc., New York, 1978.
• [9] Y. Yilmaz, M. K. Özdemir and I. Solak, A Generalization of Holder and Minkowski Inequalities to Normal Sequence Algebras with Absolutely Monotone Seminorm, 14.National Math. Symposium, Eskisehir, Turkey 2001.