Hyperinvariant subspaces for some B-circular operators

Mathematische Annalen

Volumn 333, Issue 3, 2005, Pages 485-523

  Dykema, K ^a   Tucci, G ^a  

^a TEXAS A AND M UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 29144495779     PISSN: 00255831     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00208-005-0669-8     Document Type: Article

References (22)

1. Brown, L.G.: Lidskii's Theorem in the type II case. Geometric methods in operator algebras (Kyoto, 1983). In: (Araki, H., Effros, E.G. eds.), Pitman Res. Notes Math. Ser. 123, Longman Sci. Tech., 1986, pp. 1-35
2. Dixmier, J.: Les algèbres d'operateurs dans l'espace hilbertien. Gauthier-Villars, 1969
3. Douglas, R., Pearcy, C.: Hyperinvariant subspaces and transitive algebras. Mich. Math. J. 19, 1-12 (1972)
4. Dykema, K.: Free products of hyperfinite von Neumann algebras and free dimension. Duke Math. J. 69, 97-119 (1993)
5. Dykema, K., Haagerup, U.: DT-operators and decomposability of Voiculescu's circular operator. Amer. J. Math. 126, 121-189 (2004)
6. Dykema, K., Haagerup, U.: Invariant subspaces of the quasinilpotent DT-operator. J. Funct. Anal. 209, 332-366 (2004)
7. Dykema, K., Shlyakhtenko, D.: Exactness of Cuntz-Pimsner C*-algebras. Proc. Edinburgh Math. Soc. 44, 425-444 (2001)
8. Fack, T.: Sur la notion de valeur charactéristique. J. Operator Theory 7, 307-333 (1982)
9. Fack, T., Kosaki, H.: Generalized s-numbers of τ-measurable operators. Pacific J. Math. 123, 269-300 (1986)
10. Foiaş, C., Jung, I.B., Ko, E., Pearcy, C.: On quasinilpotent operators, III. J. OperatorTheorey (to appear)
11. ω, hand-written notes, 2001
12. Hoover, T.: Hyperinvariant subspaces for n-normal operators. Acta Sci. Math. (Szeged) 32, 109-119 (1971)
13. Nica, A., Shlyakhtenko, D., Speicher, R.: A characterization of freeness by a factorization property of R-transform. preprint
14. Shlyakhtenko, D.: Random Gaussian band matrices and freeness with amalgamation. Internat. Math. Res. Notices 1996, 1013-1025
15. Shlyakhtenko, D.: Free quasi-free states. Pacific J. Math. 177, 329-368 (1997)
16. Shlyakhtenko, D.: Gaussian random band matrices and operator-valued free probability theory. Quantum probability (Gdańsk, 1997), Banach Center Publ., 43, Polish Acad. Sci., Warsaw, 1998 pp. 359-368
17. Shlyakhtenko, D.: A-valued semicircular systems. J. Func. Anal. 166, 1-47 (1999)
18. Śniady, P.: Multinomial identities arising from free probability. J. Combin. Theory A 101, 1-19 (2003)
19. Speicher, R.: Combinatorial theory of the free product with amalgamation and operator-valued free probability theory. Mem. Amer. Math. Soc. 132(627), x+88 pp. (1998)
20. Tomiyama, J.: On the projection of norm one in W*-algebras. Proc. Japan Acad. 33, 608-612 (1957)
21. Voiculescu, D.: Operations on certain non-commutative operator-valued random variables. Recent advances in operator algebras (Orléans, 1992), Astérisque No. 232 (1995), pp. 243-275
22. Voiculescu, D.V., Dykema, K.J., Nica, A.: Free Random Variables. CRM Monograph Series 1, American Mathematical Society, 1992