Compact matrix operators on Banach space of absolutely $k$-summable series

DOI10.55730/1300-0098.3138zbMath1505.40015OpenAlexW4285270239MaRDI QIDQ5102144

Publication date: 6 September 2022

Published in: Turkish Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.55730/1300-0098.3138

zbMATH Keywords

sequence spaces compact operator bounded operators absolute summability operator norm Hausdorff measure of noncompactness matrix transformations

Mathematics Subject Classification ID

Matrix methods for summability (40C05) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Banach sequence spaces (46B45) Absolute and strong summability (40F05)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
On compact operators and some Euler $B^{(m)}$-difference sequence spaces
Compactness of matrix operators on some new difference sequence spaces
On some difference sequence spaces of weighted means and compact operators
Generalization of the space $l(p)$ derived by absolute Euler summability and matrix operators
On the local properties of factored Fourier series
Compactness by the Hausdorff measure of noncompactness
Matrixtransformationen von Folgenräumen. Eine Ergebnisübersicht
On absolute Nörlund spaces and matrix operators
On absolute Euler spaces and related matrix operators
Series spaces derived from absolute Fibonacci summability and matrix transformations
Matrix transformations and compact operators on Catalan sequence spaces
Banach spaces of absolutely $k$-summable series
Matrix domain of a regular matrix derived by Euler totient function in the spaces $c_0$ and $c$
On matrix domains of triangles
On matrix operators on the series space ${|\overline{N}_p^{\theta}|}_k$
Matrix transformations and compact operators on some new $m$th-order difference sequences
Matrix transformations on fields of absolute weighted mean summability
On Some Summability Factors of Infinite Series
Ordinary, absolute and strong summability and matrix transformations
Characterization of some classes of compact and matrix operators on the sequence spaces of Cesàro means
Compact Matrix Operators on Absolute Cesàro Spaces
A new conservative matrix derived by Catalan numbers and its matrix domain in the spacescandc₀
Generalization of the Absolute Cesàro Space and Some Matrix Transformations

This page was built for publication: Compact matrix operators on Banach space of absolutely $k$-summable series