Proceedings of the American Mathematical Society

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
Retrieve article in: PDF

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.

[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 $C^{\ast }$ -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)
[9]: D. Voiculescu, A note on quasitriangularity and trace-class self-commutators, Acta Sci. Math. (Szeged) 42(1980), 1303-1320.MR 0576955 (81k:47035)

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 47A15, 44A60, 47B20

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.

B. Chevreau, I. B. Jung, E. Ko, C. Pearcy, Operators that admit a moment sequence, II, Proceedings of the American Mathematical Society (ISSN 0002-9939 ) 135(6) (2007), 1763-1767. (English)

			Journals Home Search Author Info Subscribe Tech Support Help
ISSN 1088-6826 (e) ISSN 0002-9939 (p)

Previous issue \| Table of contents \| Next issue Articles in press \| Recently posted articles \| Most recent issue \| All issues Previous Article \| Next Article


	Comments: webmaster@ams.org © Copyright 2009, American Mathematical Society Privacy Statement		Search the AMS