International Journal of Mathematics and Mathematical Sciences
Volume 18 (1995), Issue 4, Pages 681-688
doi:10.1155/S0161171295000871
A note on Köthe-Toeplitz duals of certain sequence spaces and their matrix transformations
Department of Mathematics, Indian Institute of Technology, Hauz Khas, New Delhi 110016, India
Received 5 November 1992; Revised 22 September 1993
(In the memory of Late Professor B. Kuttner)
Copyright © 1995 B. Choudhary and S. K. Mishra. 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.
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.