Sum of sequence spaces and matrix transformations

DOI10.1007/s10474-006-0106-9zbMath1121.40010OpenAlexW2007298089MaRDI QIDQ879206

Bruno de Malafosse

Publication date: 8 May 2007

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

Full work available at URL: https://doi.org/10.1007/s10474-006-0106-9

zbMATH Keywords

matrix transformationsBanach algebra with identityoperator of first difference

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) Functional analytic methods in summability (40H05)

Related Items

Matrix transformations and application to perturbed problems of some sequence spaces equations with operators ⋮ Extension of some results on the (SSIE) and the (SSE) of the form \(F\subset \mathcal{E} + F'_{x}\) and \(\mathcal{E} + F_{x} = F\) ⋮ Matrix transformations and sequence spaces equations ⋮ Unnamed Item ⋮ Solvability of Sequence Spaces Equations of the form (Eα)Δ + Fx = Fb ⋮ Sum of sequence spaces and matrix transformations mapping in \(s^0_{\alpha}((\Delta-\lambda I)^h)+s^{(c)}_{\beta}((\Delta-\mu I)^l)\) ⋮ Solvability of certain sequence spaces inclusion equations with operators ⋮ Application of the infinite matrix theory to the solvability of sequence spaces inclusion equations with operators ⋮ Solvability of some perturbed sequence spaces equations with operators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Sum and product of certain BK spaces and matrix transformations between these spaces
• Properties of some sets of sequences and application to the spaces of bounded difference sequences of order \(\mu\)
• Infinite matrices of operators
• On some generalized difference sequence spaces and related matrix transformations
• On some BK spaces
• On matrix transformations and sequence spaces
• Sequence spaces and inverse of an infinite matrix
• On Certain Sequence Spaces
• MATRIX TRANSFORMATIONS IN SPACES OF BOUNDED AND CONVERGENT DIFFERENCE SEQUENCES OF ORDER m
• SETS OF SEQUENCES THAT ARE STRONGLY r-BOUNDED AND MATRIX TRANSFORMATIONS BETWEEN THESE SETS
• Matrix transformations in the sets χ(Np, Nq) where χ is of the form sξ or sξo or sξ(c)