MOMENT SEQUENCES AND BACKWARD EXTENSIONS OF SUBNORMAL WEIGHTED SHIFTS

@inproceedings{Hoover2002MOMENTSA,
  title={MOMENT SEQUENCES AND BACKWARD EXTENSIONS OF SUBNORMAL WEIGHTED SHIFTS},
  author={Thomas Hoover and Il Bong Jung and Alan J. Lambert},
  year={2002}
}
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… CONTINUE READING

References

Publications referenced by this paper.
SHOWING 1-5 OF 5 REFERENCES

shift operators and analytic function theory

A. Shields, Weighted
  • Operator Theory, Math. Surveys 13 (Amer. Math. Soc., Providence, RI,
  • 1974
VIEW 2 EXCERPTS