J. Austral. Math. Soc.
73 (2002), 27-36
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Moment sequences and backward extensions of subnormal weighted shifts
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Thomas Hoover
Department of Mathematics
University of Hawaii
Honolulu, Hawaii 96822
USA
hoover@math.hawaii.edu
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Il Bong Jung
Department of Mathematics
College of Natural Sciences
Kyungpook National University
Taegu 702-701
Korea
ibjung@kyungpook.ac.kr
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Alan Lambert
Department of Mathematics
University of North Carolina at Charlotte
UNCC Station Charlotte
NC 28223
USA
allamber@email.uncc.edu
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Abstract
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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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