Matrix maps of bounded sequences in a Banach space
Ivor J. Maddox · Proceedings of the American Mathematical Society · 1977
Matrices of bounded linear operators are applied to bounded sequences in a Banach space. The main result is related to Knopp’s core theorem for scalar sequences and matrices. From the main result, necessary and sufficient conditions are given for a matrix of operators to map bounded sequences into null sequences in a Banach space.