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Operators that admit a moment sequence, II
Author(s):
B.
Chevreau;
I.
B.
Jung;
E.
Ko;
C.
Pearcy
Journal:
Proc. Amer. Math. Soc.
135
(2007),
1763-1767.
MSC (2000):
Primary 47A15, 44A60;
Secondary 47B20
Posted:
November 7, 2006
MathSciNet review:
2286086
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Abstract:
As the title indicates, this note is a continuation of a paper by Foias, Jung, Ko and Pearcy, in which it was shown that certain classes of operators on a Hilbert space admit moment sequences. Herein we extend these results.
References:
-
- [1]
- A. Atzmon and G. Godefroy, An application of the smooth variational principle to the existence of nontrivial invariant subspaces, C.R. Acad. Sci. Paris Sér. I Math. 332(2001), 151-156. MR 1813773 (2002a:47006)
- [2]
- C. Apostol, C. Foias and D. Voiculescu, Some results on non-quasitriangular operators, IV, Rev. Roumaine Math. Pures Appl. 18(1973), 487-514. MR 0333785 (48:12109a)
- [3]
- L. Brown, R.G. Douglas, and P. Fillmore, Extensions of
 -algebras and  -homology, Ann. of Math. 105(1977), 265-324. MR 0458196 (56:16399) - [4]
- C. Berger and B. Shaw, Selfcommutators of multicyclic hyponormal operators are trace class, Bull. Amer. Math. Soc. 79(1973), 1193-1199. MR 0374972 (51:11168)
- [5]
- R. Douglas and C. Pearcy, A note on quasitriangular operators, Duke Math. J. 37(1970), 177-188. MR 0257790 (41:2439)
- [6]
- V. Lomonosov, Positive functionals on general operator algebras, J. Math. Anal. Appl. 245(2000), 221-224.MR 1756586 (2000m:47098)
- [7]
- C. Foias, I. Jung, E. Ko and C. Pearcy, Operators that admit a moment sequence, Israel J. Math. 145(2005), 83-91.MR 2154721 (2006c:47010)
- [8]
- C. Foias, C. Pasnicu, and D. Voiculescu, Weak limits of almost invariant projections, J. Operator Theory 2 (1979), 79-93.MR 0553865 (81m:47012)
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Additional Information:
B.
Chevreau
Affiliation:
UFR de Mathématiques et d'Informatique, Université de Bordeaux I, 351, Cours de la Libération, 33405 Talence, France
Email:
bernard.chevreau@math.u-bordeaux.fr
I.
B.
Jung
Affiliation:
Department of Mathematics, College of Natural Science, Kyungpook National University, Daegu 702-701, Korea
Email:
ibjung@knu.ac.kr
E.
Ko
Affiliation:
Department of Mathematics, Ewha Women's University, Seoul 120-750, Korea
Email:
eiko@ewha.ac.kr
C.
Pearcy
Affiliation:
Department of Mathematics, Texas A&M University, College Station, Texas 77843
Email:
pearcy@math.tamu.edu
DOI:
10.1090/S0002-9939-06-08667-9
PII:
S 0002-9939(06)08667-9
Keywords:
Moment sequence,
invariant subspace,
hyponormal operator.
Received by editor(s):
January 9, 2006
Received by editor(s) in revised form:
January 31, 2006
Posted:
November 7, 2006
Additional Notes:
This work was supported by Korea Research Foundation Grant KRF-2002-070-C00006.
Communicated by:
N. Tomczak-Jaegermann
Copyright of article:
Copyright
2006,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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