Subnormality and moment problems

Anca Zl˘, Luminit¸a Luminit¸a Lemnete-Ninulescu
unpublished
In this note, in Section 1, we give a necessary and sufficient condition on a commuting multioperator to admit a commuting normal extension having the support in a prescribed set. In Section 2, we give a necessary and sufficient condition for an operator-valued sequence to be an operator valued moment sequence. M.S.C. 2000: 49M15, 26A09.
fatcat:fka5pmoemjbkrbf36rs2kvbtxy