Applications of Orlicz–Pettis theorem in vector valued multiplier spaces of generalized weighted mean fractional difference operators

Applications of Orlicz–Pettis theorem in vector valued multiplier spaces of generalized weighted mean fractional difference operators

Abstract In this study, we deal with some new vector valued multiplier spaces S G h ( ∑ k z k ) $S_{G_{h}}(\sum_{k}z_{k})$ and S w G h ( ∑ k z k ) $S_{wG_{h}}(\sum_{k}z_{k})$ related with ∑ k z k $\sum_{k}z_{k}$ in a normed space Y. Further, we obtain the completeness of these spaces via weakly unco...

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Bibliographic Details
Main Authors: Kuldip Raj, Swati Jasrotia, M. Mursaleen
Format: Article
Language:English
Published: SpringerOpen 2021-08-01
Series:Advances in Difference Equations
Subjects:
Almost convergence
Generalized weighted mean operator G ( u , v ) $G(u,v)$
Weakly unconditionally Cauchy series
Unconditionally Cauchy series
Orlicz–Pettis theorem
Online Access:https://doi.org/10.1186/s13662-021-03531-5

Internet

https://doi.org/10.1186/s13662-021-03531-5

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