<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

Publié en ligne: 12 sept. 2022

Pages: 17 - 32

Reçu: 09 mai 2022

Accepté: 27 juin 2022

DOI: https://doi.org/10.2478/aupcsm-2022-0002

Mots clés
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

Publié en ligne: 12 sept. 2022

Pages: 17 - 32

Reçu: 09 mai 2022

Accepté: 27 juin 2022

DOI: https://doi.org/10.2478/aupcsm-2022-0002

Mots clésmatrix 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.

Mots clés
matrix transformations, matrix domain, compact operators, Hausdorff measure of noncompactness, matrix classes