Characterization of some classes of compact and matrix operators on the sequence spaces of Cesàro means

DOI10.7153/OAM-2019-13-57zbMath1443.40003OpenAlexW2974828836MaRDI QIDQ5205417

Publication date: 11 December 2019

Published in: Operators and Matrices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/oam-2019-13-57

zbMATH Keywords

sequence spaces matrix transformations BK spaces absolute Cesàro spaces compact operators, Hausdorff measures 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) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Absolute and strong summability (40F05)

Related Items (1)

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

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
On the $B$-difference sequence space derived by generalized weighted mean and compact operators
On $p\alpha$-dual spaces of generalized difference sequence spaces
Hausdorff measure of noncompactness of certain matrix operators on the sequence spaces of generalized means
On compact operators on the Riesz $B^m$-difference sequence space
On compact operators and some Euler $B^{(m)}$-difference sequence spaces
Applications of the Hausdorff measure of noncompactness in some sequence spaces of weighted means
On paranormed $\lambda $-sequence spaces of non-absolute type
On some difference sequence spaces of weighted means and compact operators
Generalization of the sequence space $\ell (p)$ derived by weighted mean
Compactness by the Hausdorff measure of noncompactness
Matrix transformations on some sequence spaces related to strong Cesàro summability and boundedness
Summability factors for lower-semi-matrix transformations
Matrixtransformationen von Folgenräumen. Eine Ergebnisübersicht
Some equivalence theorems on absolute summability methods
Absolute Cesàro series spaces and matrix operators
Matrix transformations of Cesàro summable series
Characterization of absolute summability factors
Matrix operators on sequence
On compact operators on the Riesz $B^m$-difference sequence spaces. II
On matrix domains of triangles
On the $m^{th}$ order difference sequence space of generalized weighted mean and compact operators
Some New Paranormed Difference Sequence Spaces Derived by Fibonacci Numbers
Some properties of generalized Fibonacci sequence spaces
The Hausdorff measure of noncompactness of matrix operators on some BK spaces
Matrix transformations on fields of absolute weighted mean summability
On an Extension of Absolute Summability and Some Theorems of Littlewood and Paley
Matrix transformations between the sequence space BVP and certain BK spaces
Summability factor relations between absolute weighted and Cesàro means
Compactness of matrix operators on some sequence spaces derived by Fibonacci numbers

This page was built for publication: Characterization of some classes of compact and matrix operators on the sequence spaces of Cesàro means