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• W2034350126 abstract "We study the spaces c0(@L),c(@L) and c~(@L) of sequences that are @L-strongly convergent to zero, @L-strongly convergent and @L-strongly bounded, and the related spaces v0(@L) and v~(@L). In particular, we give the characterizations of several classes of matrix transformations between those spaces. Furthermore, we use our results to prove that the classes of matrix transformations from v~(@L),c~(@L) and c(@L) into themselves are Banach algebras. As an application of our results, we establish an estimate for the Hausdorff measure of noncompactness of matrix operators that map c(@L) into itself, give a characterization of the subclass of compact operators, and a sufficient condition for those operators to be Fredholm." @default.
• W2034350126 created "2016-06-24" @default.
• W2034350126 creator A5014533145 @default.
• W2034350126 creator A5041591215 @default.
• W2034350126 date "2013-04-01" @default.
• W2034350126 modified "2023-09-27" @default.
• W2034350126 title "Banach algebras of matrix transformations between some sequence spaces related to Λ-strong convergence and boundedness" @default.
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• W2034350126 doi "https://doi.org/10.1016/j.amc.2013.02.067" @default.
• W2034350126 hasPublicationYear "2013" @default.
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