On the measure of noncompactness of linear operators in spaces of strongly \(\alpha\)-summable and bounded sequences

DOI10.1007/S10998-007-4129-4zbMATH Open1164.47038OpenAlexW2019657442MaRDI QIDQ955164

Eberhard Malkowsky, Bruno de Malafosse

Publication date: 19 November 2008

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10998-007-4129-4

zbMATH Keywords

sequence spacesmeasure of noncompactnessmatrix transformationsinfinite linear systems

Mathematics Subject Classification ID

Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Functional analytic methods in summability (40H05)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Properties of some sets of sequences and application to the spaces of bounded difference sequences of order \(\mu\)
• On \(\Lambda\)-strong convergence of numerical sequences and Fourier series
• Infinite matrices of operators
• On some BK spaces
• Sequence spaces and inverse of an infinite matrix
• Über Ein Lemma von Herrn H. C. Chow
• KLASSEN VON MATRIXABBILDUNGEN IN PARANORMIERTEN FK-RÄUMEN
• ON SOME BANACH ALGEBRA OF INFINITE MATRICES AND APPLICATIONS
• SETS OF SEQUENCES THAT ARE STRONGLY r-BOUNDED AND MATRIX TRANSFORMATIONS BETWEEN THESE SETS
• RECENT RESULTS IN THE INFINITE MATRIX THEORY, AND APPLICATION TO HILL EQUATION

Related Items (7)

Title not available (Why is that?) ⋮ A viewpoint to measure of non-compactness of operators in Banach spaces ⋮ Measures of noncompactness in (N¯qΔ)summable difference sequence spaces ⋮ On the \(B\)-difference sequence space derived by generalized weighted mean and compact operators ⋮ Measures of noncompactness in N̄(p,q) summable sequence spaces ⋮ On strong summability and convergence ⋮ On some properties of difference operator with some characterizations

Recommendations

• Compact operators into the spaces of strongly \(C_{1}\) summable and bounded sequences 👍 👎
• The characterization of compact operators on spaces of strongly summable and bounded sequences 👍 👎
• The measure of noncompactness of linear operators between spaces of \(M^{th}\)-order difference sequences 👍 👎
• Measures of noncompactness in N̄(p,q) summable sequence spaces 👍 👎
• The measure of noncompactness of linear operators between spaces of strongly \(C_1\) summable and bounded sequences 👍 👎
• Title not available (Why is that?) 👍 👎
• Title not available (Why is that?) 👍 👎
• Title not available (Why is that?) 👍 👎
• Title not available (Why is that?) 👍 👎
• Title not available (Why is that?) 👍 👎

This page was built for publication: On the measure of noncompactness of linear operators in spaces of strongly \(\alpha\)-summable and bounded sequences

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q955164)