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Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2026 / Volume: 68 Issue: 1

On Vector-Valued Operator Riesz Sequence Spaces

Osman Duyar
Serkan Demiriz0000-0002-4662-6020
Sayfa
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Yayın Tarihi
2019-02-01
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Also, we characterize some matrix classes.

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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.
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Temel Bulgular & Veri: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.
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Sonuç & Katkı:Also, we characterize some matrix classes.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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.

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Bu Makaleye Atıf Yap

Duyar, O., Demiriz, S. (2019). On Vector-Valued Operator Riesz Sequence Spaces. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 68 Issue: 1. https://doi.org/10.31801/cfsuasmas.451537

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Kaynakça (12)

  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.
  4. Maddox, I. J., Spaces of strongly summable sequences, The Quarterly Journal of Mathematics, 18(1), (1967), 345-53.
  5. Nappus, A. and Sõrmus, T., Einige verallgemeinerte matrixverfahren, Proc. Estonian Acad. Sci. Phys.Math., 45(2-3), (1996), 201-210.
  6. Aasma, A., Matrix transformations of summability domains of generalized matrix methods in Banach spaces, Rendiconti del Circolo Matematico di Palermo, 58, (2009), 467-476.
  7. 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.
  8. 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.
  9. 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.
  10. Altay, B. and Başar, F., Some paranormed Riesz sequence spaces of non-absolute type, Southeast Asian Bulletin of Mathematics, 30(4), (2006), 591-608.
  11. Altay, B. and Başar, F., Some Euler sequence spaces of non-absolute type, Ukrainian Mathematical Journal, 57(2), (2005), 1-17.
  12. Aasma, A., Matrix transformations of summability domains of generalized matrix methods in Banach spaces, Rendiconti del Circolo Matematico di Palermo, 58, (2009), 467-476.