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Compactness of quadruple band matrix operator and geometric properties

Mustafa Cemil Bişgin

Mustafa Cemil Bişgin

Recep Tayyip Erdogan University, MathematicsTurkey
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Bişgin, Mustafa Cemil
 and 
Abdulcabbar Sönmez

Abdulcabbar Sönmez

Erciyes University, Department of MathematicsTurkey
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Sönmez, Abdulcabbar
  
Sep 12, 2022
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Published Online: Sep 12, 2022
Page range: 17 - 32
Received: May 09, 2022
Accepted: Jun 27, 2022
DOI: https://doi.org/10.2478/aupcsm-2022-0002
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© 2022 Mustafa Cemil Bisgin et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

In this work, we characterize the class of compact matrix operators from c0(Q), c(Q) and ℓ∞ (Q) into c0, c and ℓ∞, respectively, with the notion of the Hausdorff measure of noncompactness. Moreover, we determine some geometric properties of the sequence space ℓp(Q).

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English
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Journal Subjects:
Mathematics, General Mathematics
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