Köthe-Toeplitz duals of some generalized difference sequence spaces and their perfectness via α-Dual

Akanksha Pandey; Seraj Ahmed Khan

doi:10.30574/ijsra.2023.8.1.0045

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Köthe-Toeplitz duals of some generalized difference sequence spaces and their perfectness via α-Dual

Akanksha Pandey ^* and Seraj Ahmed Khan

Department of Mathematics Shibil National College, Azamgarh, India.

Review Article

International Journal of Science and Research Archive, 2023, 08(01), 435-444.

Article DOI: 10.30574/ijsra.2023.8.1.0045

DOI url: https://doi.org/10.30574/ijsra.2023.8.1.0045

Publication history

Received on 04 December 2022; revised on 15 January 2023; accepted on 18 January 2023

Abstract

The concept of difference sequence spaces have been given by M.Et.and Colak . In this paper, we defined difference
sequence Spaces ∆𝑣
𝑟
(𝑙∞) , ∆𝑣
𝑟
(𝑐) 𝑎𝑛𝑑 ∆𝑣
𝑟
(𝑐0
) 𝑎𝑛𝑑 their 𝛼 − duals or Köthe – Töeplitz dual and also discuss about some
topological property of these spaces. Further, we checked perfectness of these spaces and checked some properties like
monotone and solidness of these spaces also.

Keywords

Difference sequence space; Köthe-Toeplitz dual; Perfect Space; Solidness

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How to cite this article

Akanksha Pandey and Seraj Ahmed Khan. Köthe-Toeplitz duals of some generalized difference sequence spaces and their perfectness via α-Dual. International Journal of Science and Research Archive, 2023, 08(01), 435-444. Article DOI: https://doi.org/10.30574/ijsra.2023.8.1.0045

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