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Backward extensions of subnormal operators
Author(s):
Il
Bong
Jung;
Alan
Lambert;
Jan
Stochel
Journal:
Proc. Amer. Math. Soc.
132
(2004),
2291-2302.
MSC (2000):
Primary 47B20;
Secondary 47B37, 44A60
Posted:
March 25, 2004
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Additional information
Abstract:
The concept of backward extension for subnormal weighted shifts is generalized to arbitrary subnormal operators. Several differences and similarities in these contexts are explored, with emphasis on the structure of the underlying measures.
References:
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- [1]
- A. Brown, On a class of operators, Proc. Amer. Math. Soc. 4 (1953), 723-728. MR 15:538c
- [2]
- J. Conway, Subnormal operators, Pitman Publ. Co., London, 1981. MR 83i:47030
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- T. Hoover, I. Jung, and A. Lambert, Moment sequences and backward extensions of subnormal weighted shifts, J. Austral. Math. Soc. 73 (2002), 27-36. MR 2003e:47056
- [6]
- I. Jung and C. Li, A formula for
 -hyponormality of backstep extensions of subnormal weighted shifts, Proc. Amer. Math. Soc. 129 (2001), 2343-2351. MR 2002b:47061 - [7]
- I. Jung and S. Park, Quadratically hyponormal weighted shifts and their examples, Integral Equations and Operator Theory 36 (2000), 480-498. MR 2001i:47051
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- I. Jung and S. Park, Cubically hyponormal weighted shifts and their examples, J. Math. Anal. Appl. 247 (2000), 557-569. MR 2001h:47047
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- [13]
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Additional Information:
Il
Bong
Jung
Affiliation:
Department of Mathematics, College of Natural Sciences, Kyungpook National University, Daegu 702-701, Korea
Email:
ibjung@knu.ac.kr
Alan
Lambert
Affiliation:
Department of Mathematics, University of North Carolina at Charlotte, UNCC Station, Charlotte, North Carolina 28223
Email:
allamber@email.uncc.edu
Jan
Stochel
Affiliation:
Instytut Matematyki, Uniwersytet Jagiellonski, ul. Reymonta 4, PL-30059 Kraków, Poland
Email:
stochel@im.uj.edu.pl
DOI:
10.1090/S0002-9939-04-07319-8
PII:
S 0002-9939(04)07319-8
Keywords:
Cyclic vectors,
subnormal operators,
moment measures
Received by editor(s):
July 31, 2001
Received by editor(s) in revised form:
April 15, 2003
Posted:
March 25, 2004
Communicated by:
Joseph A. Ball
Copyright of article:
Copyright
2004,
American Mathematical Society
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