On the characterization of matrix domains using Cesàro and backward difference operators

Author:

Singh Sukhdev1,Malik Toseef2

Affiliation:

1. Department of Mathematics, School of Chemical Engineering & Physical Sciences, Lovely Professional University, Phagwara, Punjab, India

2. Department of Mathematics, Govt. Degree College, Darhal, Jammu and Kashmir, India

Abstract

In this manuscript, the new sequence space Z? for Z ? {c, c0, ??} and ? = Cm? have been introduced using the Ces?ro matrix and backward difference operator. Some of the topological properties of these spaces have been studied and the existence of the Schauder basis for new spaces have been verified. Also, the ?, ? and ?-duals have been computed along with the characterization of the matrix transformation between new spaces.

Publisher

National Library of Serbia

Reference24 articles.

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2. B. Altay and F. Bas,ar, The matrix domain and the fine spectrum of the difference operator Δ on the sequence space ℓp, (0 < p < 1), Commun. Math. Anal., 2(2) (2007), 111.

3. B. Altay and F. Basar, On the spaces of p-bounded variation and related matrix mappings, Ukrainian Math. J., 55 (1) (2003), pp. 136–147.

4. F. Basar and N.L. Braha, Euler-Cesàro difference spaces of bounded, convergent and null sequences, Tamkang J. Math., 47 (4), (2016), pp. 405–420.

5. M. Basarir and E.E. Kara, On the B-difference sequence space derived by generalized weighted mean and compact operators, J. Math. anal., 391 (2012), pp. 67–81.

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