A note on Köthe-Toeplitz duals of certain sequence spaces and their matrix transformations

Choudhary, B.; Mishra, S. K.

doi:https://doi.org/10.1155/S0161171295000871

International Journal of Mathematics and Mathematical Sciences

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Volume 18 | Article ID 210690 | https://doi.org/10.1155/S0161171295000871

A note on Köthe-Toeplitz duals of certain sequence spaces and their matrix transformations

B. Choudhary¹and S. K. Mishra¹

Received05 Nov 1992

Revised22 Sept 1993

Abstract

In this paper we define the sequence spaces Sℓ∞(p), Sc(p) and Sc0(p) and determine the Köthe-Toeplitz duals of Sℓ∞(p). We also obtain necessary and sufficient conditions for a matrix A to map Sℓ∞(p) to ℓ∞ and investigate some related problems.

Copyright

Copyright © 1995 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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