International Journal of Mathematics and Mathematical Sciences
Volume 2 (1979), Issue 4, Pages 605-614
doi:10.1155/S0161171279000454
Some analogues of Knopp's core theorem
I.J. Maddox
Department of Pure Mathematics, Queen's University of Belfast, Belfast BT7 INN, Ireland
Abstract
Inequalities between certain functionals on the space of bounded real sequences are considered. Such inequalities being analogues of the classical theorem of Knopp on the core of a sequence. Also, a result is given on infinite matrices of bounded linear operators acting on bounded sequences in a Banach space.