A Robust Approach About Compact Operators on Some Generalized Fibonacci Difference Sequence Spaces

candan, murat

doi:10.54974/fcmathsci.1303769

A Robust Approach About Compact Operators on Some Generalized Fibonacci Difference Sequence Spaces

Murat CANDAN (İnönü Üniversitesi, Fen Fakültesi, Matematik Bölümü, Malatya, Türkiye)

Fundamentals of contemporary mathematical sciences (Online)

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Yıl: 2024 Cilt: 5 Sayı: 1 Sayfa Aralığı: 48 - 59 Metin Dili: İngilizce DOI: 10.54974/fcmathsci.1303769 İndeks Tarihi: 26-02-2024

A Robust Approach About Compact Operators on Some Generalized Fibonacci Difference Sequence Spaces

Öz:

In this new study, which deals with the different properties of ℓp( ̂F (r, s)) (1 ≤ p < ∞) and ℓ∞( ̂F (r, s)) spaces defined by Candan and Kara in 2015 by using Fibonacci numbers according to a certain rule, we have tried to review all the qualities and features that the authors of the previous editions have found most useful. This document provides everything needed to characterize the matrix class (ℓ1, ℓp( ̂F (r, s))) (1 ≤ p < ∞) . Using the Hausdorff measure of non-compactness, we simultaneously provide estimates for the norms of the bounded linear operators LA defined by these matrix transformations and identify requirements to derive the corresponding subclasses of compact matrix operators. The results of the current research can be regarded as to be more inclusive and broader when compared to the similar results available in the literature.

Anahtar Kelime: Sequence spaces Fibonacci numbers Compact operators Hausdorff measure of noncompactness

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

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APA	candan m (2024). A Robust Approach About Compact Operators on Some Generalized Fibonacci Difference Sequence Spaces. , 48 - 59. 10.54974/fcmathsci.1303769
Chicago	candan murat A Robust Approach About Compact Operators on Some Generalized Fibonacci Difference Sequence Spaces. (2024): 48 - 59. 10.54974/fcmathsci.1303769
MLA	candan murat A Robust Approach About Compact Operators on Some Generalized Fibonacci Difference Sequence Spaces. , 2024, ss.48 - 59. 10.54974/fcmathsci.1303769
AMA	candan m A Robust Approach About Compact Operators on Some Generalized Fibonacci Difference Sequence Spaces. . 2024; 48 - 59. 10.54974/fcmathsci.1303769
Vancouver	candan m A Robust Approach About Compact Operators on Some Generalized Fibonacci Difference Sequence Spaces. . 2024; 48 - 59. 10.54974/fcmathsci.1303769
IEEE	candan m "A Robust Approach About Compact Operators on Some Generalized Fibonacci Difference Sequence Spaces." , ss.48 - 59, 2024. 10.54974/fcmathsci.1303769
ISNAD	candan, murat. "A Robust Approach About Compact Operators on Some Generalized Fibonacci Difference Sequence Spaces". (2024), 48-59. https://doi.org/10.54974/fcmathsci.1303769

APA	candan m (2024). A Robust Approach About Compact Operators on Some Generalized Fibonacci Difference Sequence Spaces. Fundamentals of contemporary mathematical sciences (Online), 5(1), 48 - 59. 10.54974/fcmathsci.1303769
Chicago	candan murat A Robust Approach About Compact Operators on Some Generalized Fibonacci Difference Sequence Spaces. Fundamentals of contemporary mathematical sciences (Online) 5, no.1 (2024): 48 - 59. 10.54974/fcmathsci.1303769
MLA	candan murat A Robust Approach About Compact Operators on Some Generalized Fibonacci Difference Sequence Spaces. Fundamentals of contemporary mathematical sciences (Online), vol.5, no.1, 2024, ss.48 - 59. 10.54974/fcmathsci.1303769
AMA	candan m A Robust Approach About Compact Operators on Some Generalized Fibonacci Difference Sequence Spaces. Fundamentals of contemporary mathematical sciences (Online). 2024; 5(1): 48 - 59. 10.54974/fcmathsci.1303769
Vancouver	candan m A Robust Approach About Compact Operators on Some Generalized Fibonacci Difference Sequence Spaces. Fundamentals of contemporary mathematical sciences (Online). 2024; 5(1): 48 - 59. 10.54974/fcmathsci.1303769
IEEE	candan m "A Robust Approach About Compact Operators on Some Generalized Fibonacci Difference Sequence Spaces." Fundamentals of contemporary mathematical sciences (Online), 5, ss.48 - 59, 2024. 10.54974/fcmathsci.1303769
ISNAD	candan, murat. "A Robust Approach About Compact Operators on Some Generalized Fibonacci Difference Sequence Spaces". Fundamentals of contemporary mathematical sciences (Online) 5/1 (2024), 48-59. https://doi.org/10.54974/fcmathsci.1303769