Necessary and sufficient conditions are established for the local operator moment problem on R (valid automatically on compact subsets), with applications to subnormal operator weighted shifts, a Stampfli-type propagation theorem, and recursive sequences.
The classical moment problem and some related questions in analysis
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The Local Operator Moment Problem on $\mathbb{R}$
Necessary and sufficient conditions are established for the local operator moment problem on R (valid automatically on compact subsets), with applications to subnormal operator weighted shifts, a Stampfli-type propagation theorem, and recursive sequences.