Vector-valued Cesàro summable generalized Lorentz sequence space
The main purpose of this paper is to introduce Cesàro summable generalized Lorentz sequence space C1[d(v; p)]. We study some topologicproperties of this space and obtain some inclusion relations
Keywords:
Lorentz sequence space Cesàro summable, vector-valued space,
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- Cui Y. A., Hudzik H., Some Geometric Properties Related to Fixed Point Theory in Cesàro Spaces, Collect. Math., 50 (3) (1999), 277-288.
- Hardy G. H., Littlewood J. E., Pólya G., Inequalities, Cambridge Univ. Press, 1967.
- Kato M., On Lorentz Spaces lp;qfEg, Hiroshima Math. J., 6 (1976), 73-93
- Kızmaz H., On Certain Sequence Spaces, Canad. Math. Bull., Vol. 24 (2), 1981.
- Lee P. Y., Cesàro Sequence Space, Math. Chronicle, 13 (1984),29-45.
- Lorentz G. G., Some New Functional Spaces, Ann. Math., 51 (1950), 37-55.
- Lorentz G. G., On the Theory of Spaces Maddox I. J., Elements of Functional Analysis, Cambridge Univ. Press, 1970.
- Miyazaki K., (p; q) Nuclear and (p; q) Integral Operators, Hiroshima Math. J., 4(1974), , Pasi…c J. Math., 1 (1951), 411-429. 132.
- Nawrocki M., Ortynski A., The Mackey Topology and Complemented Subspaces of Lorentz Sequence Spaces d(w; p) for 0 < p < 1, Trans. Amer. Math. Soc., 287 (1985).
- Petrot N., Suantai S., On Uniform Kadec-Klee Properties and Rodundity in Generalized Cesàro Sequence Spaces, Internat. J. Math. Sci., 2 (2004), 91-97.
- Popa N., Basic Sequences and Subspaces in Lorentz Sequence Spaces Without Local Convex- ity, Trans. Amer. Math. Soc., 263 (1981), 431-456.
- Sanhan W., Suantai S., On k nearly Uniform Convex Properties in Generalized Cesàro Sequence Spaces, Internat. J. Math. Sci., 57 (2003), 3599-3607.
- Shiue J. S., On the Cesàro Sequence Spaces, Tamkang J. Math., 1 (1970), 19-25.
- ISSN: 1303-5991
- Yayın Aralığı: Yılda 4 Sayı
- Başlangıç: 1948
- Yayıncı: Ankara Üniversitesi