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
B. Choudhary
and S.K. Mishra
Department of Mathematics, Indian Institute of Technology, Hauz Khas, New Delhi 110016, India
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.