Hamburger and Stieltjes Moment Problems for Operators
Luminiţa Lemnete-Ninulescu · ISRN Mathematical Analysis · 2014
Solutions to some operator-valued, unidimensional, Hamburger and Stieltjes moment problems in this paper are given. Necessary and sufficient conditions on some sequences of bounded operators being Hamburger, respectively, Stieltjes operator-valued moment sequences are obtained. The determinateness of the operator-valued Hamburger and Stieltjes moment sequence is studied.