Christian Berg

Indeterminate Jacobi operators II

Abstract We consider the Jacobi operator ( T , D ( T )) associated with an indeterminate Hamburger moment problem, and present countable subsets S of the domain D ( T ) such that $${{\,\textrm{span}\,}}(S)$$ span ( S ) is dense in $$\ell ^2.$$ ℓ 2 . As an example we have $$S=\{(p...