SavedAdd your journal

Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2017 / Cilt: 66 - Sayı: 1

Vector-valued Cesàro summable generalized Lorentz sequence space

Oğuz OĞUR
Birsen SAĞIR
Pages
179–186
Publication Date
2017-02-01
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

We study some topologicproperties of this space and obtain some inclusion relations

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The main purpose of this paper is to introduce Cesàro summable generalized Lorentz sequence space C1[d(v; p)].
📊
Key Findings & Data:The main purpose of this paper is to introduce Cesàro summable generalized Lorentz sequence space C1[d(v; p)].
💡
Conclusion & Impact:We study some topologicproperties of this space and obtain some inclusion relations
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Lorentz sequence space · Cesàro summable · vector-valued space

Abstract

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

🔖

Cite This Article

OĞUR, O., SAĞIR, B. (2017). Vector-valued Cesàro summable generalized Lorentz sequence space. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Cilt: 66 - Sayı: 1, 179–186. https://ajindex.com/articles/747287

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (10)

  1. Cui Y. A., Hudzik H., Some Geometric Properties Related to Fixed Point Theory in Cesàro Spaces, Collect. Math., 50 (3) (1999), 277-288.
  2. Hardy G. H., Littlewood J. E., Pólya G., Inequalities, Cambridge Univ. Press, 1967.
  3. Kato M., On Lorentz Spaces lp;qfEg, Hiroshima Math. J., 6 (1976), 73-93
  4. Kızmaz H., On Certain Sequence Spaces, Canad. Math. Bull., Vol. 24 (2), 1981.
  5. Lee P. Y., Cesàro Sequence Space, Math. Chronicle, 13 (1984),29-45.
  6. Lorentz G. G., Some New Functional Spaces, Ann. Math., 51 (1950), 37-55.
  7. 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 Petrot N., Suantai S., On Uniform Kadec-Klee Properties and Rodundity in Generalized Cesàro Sequence Spaces, Internat. J. Math. Sci., 2 (2004), 91-97.
  8. Popa N., Basic Sequences and Subspaces in Lorentz Sequence Spaces Without Local Convex- ity, Trans. Amer. Math. Soc., 263 (1981), 431-456.
  9. Sanhan W., Suantai S., On k nearly Uniform Convex Properties in Generalized Cesàro Sequence Spaces, Internat. J. Math. Sci., 57 (2003), 3599-3607.
  10. Shiue J. S., On the Cesàro Sequence Spaces, Tamkang J. Math., 1 (1970), 19-25.