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- Title
GEOMETRIC PROPERTIES AND COMPACT OPERATOR ON FRACTIONAL RIESZ DIFFERENCE SPACE.
- Authors
YAYING, TAJA; HAZARIKA, BIPAN; ESI, AYHAN
- Abstract
In this article we introduce the Riesz difference sequence space rpq(ΔBα) of fractional order α, defined by the composition of fractional backward difference operator ΔBα given by (ΔBαv)k = ... and the Riesz matrix Rq. We give some topological properties, obtain the Schauder basis and determine the α-, β- and γ- duals and investigate certain geometric properties of the space rpq(ΔBα). Finally, we characterize certain classes of compact operators on the space rpq(ΔBα) using Hausdorff measure of non-compactness.
- Subjects
RIESZ spaces; DIFFERENCE operators; HAUSDORFF measures; TOPOLOGICAL property; SEQUENCE spaces; COMPACT operators
- Publication
Kragujevac Journal of Mathematics, 2023, Vol 47, Issue 4, p545
- ISSN
1450-9628
- Publication type
Article
- DOI
10.46793/KgJMat2304.545Y