<abstract xmlns="http://www.w3.org/1999/xhtml">

In this work, we characterize the class of compact matrix operators from <italic>c</italic>0(<italic>Q</italic>), <italic>c</italic>(<italic>Q</italic>) and <italic>ℓ</italic>∞ (<italic>Q</italic>) into <italic>c</italic>0, <italic>c</italic> and <italic>ℓ</italic>∞, respectively, with the notion of the Hausdorff measure of noncompactness. Moreover, we determine some geometric properties of the sequence space <italic>ℓp</italic>(<italic>Q</italic>).
</abstract>

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).

Compactness of quadruple band matrix operator and geometric properties

Recep Tayyip Erdogan University, Mathematics

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Compactness of quadruple band matrix operator and geometric properties"}

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...

Compactness of quadruple band matrix operator and geometric properties

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

Keywords
matrix transformations, matrix domain, compact operators, Hausdorff measure of noncompactness, matrix classes

© 2022 Mustafa Cemil Bisgin et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Compactness of quadruple band matrix operator and geometric properties

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

Keywordsmatrix transformations, matrix domain, compact operators, Hausdorff measure of noncompactness, matrix classes

© 2022 Mustafa Cemil Bisgin et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
matrix transformations, matrix domain, compact operators, Hausdorff measure of noncompactness, matrix classes