Moment sequences in l^p

J. Bockett Hunter

Vol. 58 (1975), No. 2, 463–465

DOI: 10.2140/pjm.1975.58.463

Abstract

Let p > 0. Conditions are derived, each necessary and sufficient, for a moment sequence to be in l^p. It is shown that the moment sequences in l^p are dense in l^p. For p = 2, these results were obtained by G. G. Johnson.

Mathematical Subject Classification 2000

Primary: 46A45

Secondary: 44A50

Milestones

Received: 6 December 1973

Published: 1 June 1975