Compactness of binomial difference operator of fractional order and sequence spaces

DOI10.1007/s12215-018-0372-8zbMath1444.46005OpenAlexW2898923983MaRDI QIDQ2009788

Anupam Das, Taja Yaying, Bipan Hazarika, Pinakadhar Baliarsingh

Publication date: 29 November 2019

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-018-0372-8

zbMATH Keywords

Schauder basiscompact operatorHausdorff measure of non-compactness\( \alpha$-dual$\beta$-dual$\gamma$-dualbinomial difference sequence spacedifference operator \(\Delta^{(\alpha)}\)

Mathematics Subject Classification ID

Matrix methods for summability (40C05) Sequence spaces (including Köthe sequence spaces) (46A45) Banach sequence spaces (46B45) Functional analytic methods in summability (40H05) Summability and bases in topological vector spaces (46A35) Linear difference operators (47B39)

Related Items (11)

Compact operators on spaces of binomial fractional difference sequences ⋮ On some Lambda-Pascal sequence spaces and compact operators ⋮ On sequence spaces defined by the domain of tribonacci matrix in $c_0$ and $c$ ⋮ On generalized Fibonacci difference sequence spaces and compact operators ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On the paranormed Nörlund difference sequence space of fractional order and geometric properties ⋮ Poisson like matrix operator and its application in \(p\)-summable space ⋮ Matrix mappings and Hausdorff measure of non-compactness on Riesz difference spaces of fractional order ⋮ On difference sequence spaces of fractional-order involving Padovan numbers

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