On a factorization problem for convergent sequences and on Hankel forms in bounded sequences

P. P. B. Eggermont, Y. J. Leung
1986 Proceedings of the American Mathematical Society  
We solve in the negative the following factorization problem of S. Mazur: Can every convergent sequence be written as z(n) = (n + l)~lT."=0x(i)y(n -i), n = 0,1,..., with convergent sequences x and y? This problem also yields the solution of another problem of S. Mazur regarding bounded Hankel forms on the space of all bounded sequences.
doi:10.1090/s0002-9939-1986-0818457-3 fatcat:7gxg3rzd4fbirpmrfohvumutzy