Compactness of matrix operators on absolute Fibonacci series spaces

DOI10.1007/s13370-023-01108-xOpenAlexW4387670868MaRDI QIDQ6084745

Publication date: 2 December 2023

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13370-023-01108-x

zbMATH Keywords

sequence spaces bounded operators absolute summability Fibonacci numbers operator norm matrix transformations Hausdorff meausures of noncompactness

Mathematics Subject Classification ID

Matrix methods for summability (40C05) Sequence spaces (including Köthe sequence spaces) (46A45) Inclusion and equivalence theorems in summability theory (40D25) Absolute and strong summability (40F05) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Cites Work

Some topological and geometrical properties of new Banach sequence spaces
Compactness of matrix operators on some new difference sequence spaces
On the local properties of factored Fourier series
Compactness by the Hausdorff measure of noncompactness
Matrixtransformationen von Folgenräumen. Eine Ergebnisübersicht
On absolute Euler spaces and related matrix operators
Series spaces derived from absolute Fibonacci summability and matrix transformations
Cesàro sequence spaces via \((p, q)\)-calculus and compact matrix operators
On some Lambda-Pascal sequence spaces and compact operators
On matrix domains of triangles
Matrix transformations and compact operators on some new \(m\)th-order difference sequences
On the Euler sequence spaces which include the spaces \(\ell_{p}\) and \(\ell_{\infty}\). I
Some properties of generalized Fibonacci sequence spaces
Euler-Ces`aro difference spaces of bounded, convergent and null sequences
Matrix transformations on fields of absolute weighted mean summability
Measure of Noncompactness of Linear Operators between Spaces of Sequences That Are (N,q) Summable or Bounded
On an Extension of Absolute Summability and Some Theorems of Littlewood and Paley
On Some Summability Factors of Infinite Series
Ordinary, absolute and strong summability and matrix transformations
Compact operators on the Jordan totient sequence spaces
ON THE SPACES OF FIBONACCI DIFFERENCE ABSOLUTELY p-SUMMABLE, NULL AND CONVERGENT SEQUENCES
Generalization of the Absolute Cesàro Space and Some Matrix Transformations
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