SavedAdd your journal

Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2019 / Cilt: 68 - Sayı: 1

On Vector-Valued Operator Riesz Sequence Spaces

Osman DUYAR
Serkan DEMİRİZ
Pages
236–247
Publication Date
2019-02-01
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)

Also, we characterize some matrix classes.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper we introduce vector-valued Riesz sequence spaces R₀^{q}(X), R_{c}^{q}(X), R_{∞}^{q}(X) and R₁^{q}(X) and determine their Köthe-Toeplitz duals.
📊
Key Findings & Data:In this paper we introduce vector-valued Riesz sequence spaces R₀^{q}(X), R_{c}^{q}(X), R_{∞}^{q}(X) and R₁^{q}(X) and determine their Köthe-Toeplitz duals.
💡
Conclusion & Impact:Also, we characterize some matrix classes.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Vector-valued sequence spaces · Köthe-Toeplitz dual · matrix transformations

Abstract

In this paper we introduce vector-valued Riesz sequence spaces R₀^{q}(X), R_{c}^{q}(X), R_{∞}^{q}(X) and R₁^{q}(X) and determine their Köthe-Toeplitz duals. Also, we characterize some matrix classes.

🔖

Cite This Article

DUYAR, O., DEMİRİZ, S. (2019). On Vector-Valued Operator Riesz Sequence Spaces. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Cilt: 68 - Sayı: 1, 236–247. https://ajindex.com/articles/747037

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (10)

  1. Lorentz, G. G. and Machphail, M. S., Unbounded operators and a theorem of A. Robinson, Trans. Royal Soc. of C XLVI, (1952), 33-37.
  2. Robinson, A.R., On functional transformations and summability, Proc. London Math. Soc., 52, (1995), 132-160.
  3. Maddox, I. J., Infinite matrices of operators, Lecture notes in Mathematics, 786 Springer-Verlag, Berlin. Maddox, I. J., Spaces of strongly summable sequences, The Quarterly Journal of Mathematics, 18(1), (1967), 345-53.
  4. Nappus, A. and Sõrmus, T., Einige verallgemeinerte matrixverfahren, Proc. Estonian Acad. Sci. Phys.Math., 45(2-3), (1996), 201-210.
  5. Aasma, A., Matrix transformations of summability domains of generalized matrix methods in Banach spaces, Rendiconti del Circolo Matematico di Palermo, 58, (2009), 467-476.
  6. Malkowsky, E. and Rakočević, V., Measure of noncompactness of linear operators between spaces of sequences that are (N,q) summable or bounded, Czechoslovak Mathematical Journal, 51, (126), (2001), 505-522.
  7. Şengönül, M. and Başar, F., Some new Cesàro sequence spaces of non-absolute type which include the spaces c₀ and c, Soochow Journal of Mathematics, 31(1), (2005), 107-119.
  8. Altay, B. and Başar, F., On the paranormed Riesz sequence spaces of non-absolute type, Southeast Asian Bulletin of Mathematics, 24(2), (2003), 701-715.
  9. Altay, B. and Başar, F., Some paranormed Riesz sequence spaces of non-absolute type, Southeast Asian Bulletin of Mathematics, 30(4), (2006), 591-608.
  10. Altay, B. and Başar, F., Some Euler sequence spaces of non-absolute type, Ukrainian Mathematical Journal, 57(2), (2005), 1-17.