Applications of the Hausdorff measure of noncompactness in some sequence spaces of weighted means

DOI10.1016/j.camwa.2010.06.005zbMath1201.40002OpenAlexW1986256532MaRDI QIDQ611456

Abdullah K. Noman, Mohammad Mursaleen

Publication date: 14 December 2010

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2010.06.005

zbMATH Keywords

sequence spacematrix transformationcompact operatorHausdorff measure of noncompactnessweighted mean\(BK\)-space

Mathematics Subject Classification ID

Matrix methods for summability (40C05) Banach sequence spaces (46B45) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

Related Items (28)

Cyclicity of special operators on a BK with AK space ⋮ Application of measures of noncompactness to the infinite system of second-order differential equations in \(\ell_{p}\) spaces ⋮ On absolute Nörlund spaces and matrix operators ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Matrix mappings and compact operators for Schröder sequence spaces ⋮ Infinite system of differential equations in some \(BK\) spaces ⋮ Applications of measures of noncompactness to the infinite system of differential equations in \(\ell_p\) spaces ⋮ On the \(B\)-difference sequence space derived by generalized weighted mean and compact operators ⋮ Applications of measure of noncompactness in matrix operators on some sequence spaces ⋮ Hausdorff measure of noncompactness of matrix operators on some sequence spaces of a double sequential band matrix ⋮ Measure of noncompactness of matrix operators on some difference sequence spaces of weighted means ⋮ Banach algebras of matrix transformations between some sequence spaces related to \(\lambda\)-strong convergence and boundedness ⋮ Some topological and geometric properties of some new spaces of \(\lambda\)-convergent and bounded series ⋮ On absolute Euler spaces and related matrix operators ⋮ Differential equations in classical sequence spaces ⋮ Hausdorff measure of noncompactness in some sequence spaces of a triple band matrix ⋮ On compact operators and some Euler \(B^{(m)}\)-difference sequence spaces ⋮ Reflexivity of the shift operator on some BK spaces ⋮ 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 ⋮ Matrix domain of a regular matrix derived by Euler totient function in the spaces \(c_0\) and \(c\) ⋮ Matrix mappings and norms on the absolute Cesàro and weighted spaces ⋮ Unnamed Item ⋮ Two methods for the characterization of compact operators between BK spaces ⋮ On some properties of difference operator with some characterizations

Cites Work

• Matrix transformations between sequence spaces of generalized weighted means.
• Matrix transformations between the sequence spaces \(w_{0}^{p}(\varLambda),v_{0}^{p}(\varLambda),c_{0}^{p}(\varLambda)\;(1 < p < \infty)\) and certain BK spaces.
• Matrix transformations and compact operators on some new \(m\)th-order difference sequences
• Measure of Noncompactness of Linear Operators between Spaces of Sequences That Are (N,q) Summable or Bounded
• Ordinary, absolute and strong summability and matrix transformations
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