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

B. Choudhary and S. K. Mishra

International Journal of Mathematics and Mathematical Sciences, 1995, vol. 18, 1-8

Abstract:

In this paper we define the sequence spaces S ℓ ∞ ( p ) , S c ( p ) and S c 0 ( p ) and determine the Köthe-Toeplitz duals of S ℓ ∞ ( p ) . We also obtain necessary and sufficient conditions for a matrix A to map S ℓ ∞ ( p ) to ℓ ∞ and investigate some related problems.

Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:210690

DOI: 10.1155/S0161171295000871

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