Applications of measure of noncompactness in operators on the spaces \(s_{\alpha}\), \(s_{\alpha}^{0}\), \(s_{\alpha}^{(c)}\), \(\ell_{\alpha}^{p}\)

DOI10.1016/j.jmaa.2005.10.024zbMath1106.47029OpenAlexW1970343148MaRDI QIDQ852727

Bruno de Malafosse, Vladimir Rakočevič

Publication date: 15 November 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.10.024

zbMATH Keywords

sequence spacematrix transformationmeasure of noncompactness

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) (Semi-) Fredholm operators; index theories (47A53) Banach sequence spaces (46B45)

Related Items (25)

On matrix domains of triangles ⋮ Compact operators on some Fibonacci difference 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 ⋮ Applications of measure of noncompactness in matrix operators on some sequence spaces ⋮ Matrix transformations and sequence spaces equations ⋮ 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 ⋮ Hausdorff measure of noncompactness of certain matrix operators on the sequence spaces of generalized means ⋮ Matrix transformations and generators of analytic semigroups ⋮ Differential equations in classical sequence spaces ⋮ Matrix transformations and compact operators on some new \(m\)th-order difference sequences ⋮ Compact operators into the spaces of strongly \(C_{1}\) summable and bounded sequences ⋮ On \(\sigma \)-conservative matrices and compact operators on the space \(V_{\sigma }\) ⋮ Compact matrix operators on a new sequence space related to \(\ell_{p}\) spaces ⋮ Compactness by the Hausdorff measure of noncompactness ⋮ Some new results related to compact matrix operators in the class \(((\ell_p)_T, \ell_\infty)\) ⋮ Measure of noncompactness for compact matrix operators on some BK spaces ⋮ Banach spaces of absolutely \(k\)-summable series ⋮ A note on Fredholm operators on \((c_{0})_T\) ⋮ A New Banach Space Defined By Euler Totient Matrix Operator ⋮ Solvability of certain sequence spaces inclusion equations with operators ⋮ Two methods for the characterization of compact operators between BK spaces ⋮ On some properties of difference operator with some characterizations ⋮ Some classes of operators related to the space of convergent series cs

Cites Work

• Measures of noncompactness and condensing operators. Transl. from the Russian by A. Iacob
• Matrixtransformationen von Folgenräumen. Eine Ergebnisübersicht
• Calculations on some sequence spaces
• On some BK spaces
• Sequence spaces and inverse of an infinite matrix
• Transformations on sequence spaces
• The Range as Range Space for Compact Operators. II.
• On Compact Matrix Transformations between Sectionally Bounded BK -Spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Applications of measure of noncompactness in operators on the spaces \(s_{\alpha}\), \(s_{\alpha}^{0}\), \(s_{\alpha}^{(c)}\), \(\ell_{\alpha}^{p}\)