Applications of the summability theory to the solvability of certain sequence spaces equations with operators of the form \(B\left( r,s\right) \)

zbMath1270.40007MaRDI QIDQ1943525

Bruno de Malafosse

Publication date: 20 March 2013

Published in: Communications in Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.cma/1349204797

zbMATH Keywords

Cauchy integralanalytic functionsmatrix transformationsfractional dimensionjump problemBK space(SSE) with operator(SSIE)\mathbf{s}_{a}^{0}\) and \(\mathbf{s}_{a}^{\left( c\right) }\)band matrix \(B\left( rmultiplier of sets of sequencess\right) \)the spaces \(\mathbf{s}_{a}

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Functional analytic methods in summability (40H05)

Related Items (6)

Solvability of the Sequence Spaces Equations With Operators C_a+C_x = (C_b)_B_(r,s) And C_a+C_x = (C_b)_G_(α,α) ⋮ 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 \(\mathcal{E} + F_{x} = F\) ⋮ Unnamed Item ⋮ 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

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