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Dergiler / Conference Proceedings of Science and Technology / 2018 / Cilt: 1 Sayı: 1

Compactness of Matrix Operators on the Banach Space $\ell_p(T)$

Merve İlkhan0000-0002-0831-1474
Emrah Evren Kara0000-0002-6398-4065
Sayfa
11–15
Yayın Tarihi
2018-12-14
DOI
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In this study, by using the Hausdorff measure of non-compactness, we obtain the necessary and sufficient conditions for certain matrix operators on the spaces $\ell_p(T)$ and $\ell_\infty(T)$ to be compact, where $1\leq p<\infty$.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this study, by using the Hausdorff measure of non-compactness, we obtain the necessary and sufficient conditions for certain matrix operators on the spaces $\ell_p(T)$ and $\ell_\infty(T)$ to be compact, where $1\leq p<\infty$.
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Temel Bulgular & Veri:In this study, by using the Hausdorff measure of non-compactness, we obtain the necessary and sufficient conditions for certain matrix operators on the spaces $\ell_p(T)$ and $\ell_\infty(T)$ to be compact, where $1\leq p<\infty$.
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Sonuç & Katkı:In this study, by using the Hausdorff measure of non-compactness, we obtain the necessary and sufficient conditions for certain matrix operators on the spaces $\ell_p(T)$ and $\ell_\infty(T)$ to be compact, where $1\leq p<\infty$.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Compact operators · Hausdorff measure of non-compactness · Sequence spaces

Abstract

In this study, by using the Hausdorff measure of non-compactness, we obtain the necessary and sufficient conditions for certain matrix operators on the spaces $\ell_p(T)$ and $\ell_\infty(T)$ to be compact, where $1\leq p<\infty$.

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Bu Makaleye Atıf Yap

İlkhan, M., Kara, E. E. (2018). Compactness of Matrix Operators on the Banach Space $\ell_p(T)$. Conference Proceedings of Science and Technology, Cilt: 1 Sayı: 1, 11–15. https://ajindex.com/articles/984409

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Kaynakça (11)

  1. E. Malkowsky, V. Rakocevic, An introduction into the theory of sequence spaces and measure of noncompactness, Zbornik radova, Matematicki Inst. SANU, Belgrade, 9(17) (2000), 143–234.
  2. V. Rakocevic, Measures of noncompactness and some applications, Filomat, 12(2) (1998), 87–120.
  3. M. Başarır, E. E. Kara, On compact operators on the Riesz B(m)-difference sequence spaces, Iran. J. Sci. Technol., 35(A4) (2011), 279–285.
  4. M. Başarır, E. E. Kara, On some difference sequence spaces of weighted means and compact operators, Ann. Funct. Anal., 2 (2011), 114–129.
  5. M. Başarır, E. E. Kara, On the B-difference sequence space derived by generalized weighted mean and compact operators, J. Math. Anal. Appl., 391 (2012), 67–81.
  6. M. Mursaleen, V. Karakaya, H. Polat, N. Şimşek, Measure of noncompactness of matrix operators on some difference sequence spaces of weighted means, Comput. Math. Appl., 62 (2011), 814–820.
  7. M. Mursaleen, S. A. Mohiuddine, Applications of measures of noncompactness to the infinite system of differential equations in $\ell_p$ spaces, Nonlinear Anal., 75 (2012), 2111–2115.
  8. M. Mursaleen, A. K. Noman, Applications of Hausdorff measure of noncompactness in the spaces of generalized means, Math. Inequal. Appl., 16(1) (2013), 207–220.
  9. M. Mursaleen, A. K. Noman, The Hausdorff measure of noncompactness of matrix operators on some BK spaces, Oper. Matrices, 5(3) (2011), 473–486.
  10. E. E. Kara, M. İlkhan, On some Banach sequence spaces derived by a new band matrix, Br. J. Math. Comput. Sci. 9(2) (2015), 141–159.
  11. M. Mursaleen, A. K. Noman, Compactness by the Hausdorff measure of noncompactness, Nonlinear Anal., 73(8) (2010), 2541–2557.