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

1986
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Proceedings of the American Mathematical Society
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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