J. Austral. Math. Soc.  73 (2002), 27-36
Moment sequences and backward extensions of subnormal weighted shifts

Thomas Hoover
  Department of Mathematics
  University of Hawaii
  Honolulu, Hawaii 96822
Il Bong Jung
  Department of Mathematics
  College of Natural Sciences
  Kyungpook National University
  Taegu 702-701
Alan Lambert
  Department of Mathematics
  University of North Carolina at Charlotte
  UNCC Station Charlotte
  NC 28223

In this note we examine the relationships between a subnormal shift, the measure its moment sequence generates, and those of a large family of weighted shifts associated with the original shift. We examine the effects on subnormality of adding a new weight or changing a weight. We also obtain formulas for evaluating point mass at the origin for the measure associated with the shift. In addition, we examine the relationship between the measure associated with a subnormal shift and those of a family of shifts substantially different from the original shift.
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