Absolute Lucas Spaces with Matrix and Compact Operators

Fadime Gökçe

doi:10.36753/mathenot.816576

EN

Absolute Lucas Spaces with Matrix and Compact Operators

Abstract

The main purpose of this study is to introduce the absolute Lucas series spaces and to investigate their some algebraic and topological structure such as some inclusion relations, $BK-$ to this space, duals and Schauder basis. Also, the characterizations of matrix operators related to these space with their norms are given. Finally, by using Hausdorff measure of noncompactness, the necessary and sufficient conditions for a matrix operator on them to be compact are obtained.

Keywords

Absolute summability, Lucas numbers, matrix transformations, sequence spaces, Hausdroff measures of noncompactness, Operator norm, bounded operators

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Fadime Gökçe ^*
0000-0003-1819-3317
Türkiye

Publication Date

March 1, 2022

Submission Date

October 26, 2020

Acceptance Date

February 17, 2021

Published in Issue

Year 2022 Volume: 10 Number: 1

DOI

https://doi.org/10.36753/mathenot.816576

IZ

https://izlik.org/JA44NU73TE

APA

Gökçe, F. (2022). Absolute Lucas Spaces with Matrix and Compact Operators. Mathematical Sciences and Applications E-Notes, 10(1), 27-44. https://doi.org/10.36753/mathenot.816576

AMA

1.Gökçe F. Absolute Lucas Spaces with Matrix and Compact Operators. Math. Sci. Appl. E-Notes. 2022;10(1):27-44. doi:10.36753/mathenot.816576

Chicago

Gökçe, Fadime. 2022. “Absolute Lucas Spaces With Matrix and Compact Operators”. Mathematical Sciences and Applications E-Notes 10 (1): 27-44. https://doi.org/10.36753/mathenot.816576.

EndNote

Gökçe F (March 1, 2022) Absolute Lucas Spaces with Matrix and Compact Operators. Mathematical Sciences and Applications E-Notes 10 1 27–44.

IEEE

[1]F. Gökçe, “Absolute Lucas Spaces with Matrix and Compact Operators”, Math. Sci. Appl. E-Notes, vol. 10, no. 1, pp. 27–44, Mar. 2022, doi: 10.36753/mathenot.816576.

ISNAD

Gökçe, Fadime. “Absolute Lucas Spaces With Matrix and Compact Operators”. Mathematical Sciences and Applications E-Notes 10/1 (March 1, 2022): 27-44. https://doi.org/10.36753/mathenot.816576.

JAMA

1.Gökçe F. Absolute Lucas Spaces with Matrix and Compact Operators. Math. Sci. Appl. E-Notes. 2022;10:27–44.

MLA

Gökçe, Fadime. “Absolute Lucas Spaces With Matrix and Compact Operators”. Mathematical Sciences and Applications E-Notes, vol. 10, no. 1, Mar. 2022, pp. 27-44, doi:10.36753/mathenot.816576.

Vancouver

1.Fadime Gökçe. Absolute Lucas Spaces with Matrix and Compact Operators. Math. Sci. Appl. E-Notes. 2022 Mar. 1;10(1):27-44. doi:10.36753/mathenot.816576

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