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Triangular algebras and ideals of nest algebras
Author:
John Lindsay Orr
Journal:
Bull. Amer. Math. Soc. 23 (1990), 461-467
MSC (1985):
Primary 47D25, 47C05
MathSciNet review:
1053988
Full-text PDF
References |
Similar Articles |
Additional Information
- 1.
William
B. Arveson, Operator algebras and measure preserving
automorphisms, Acta Math. 118 (1967), 95–109.
MR
0210866 (35 #1751)
- 2.
Kenneth
R. Davidson, Similarity and compact perturbations of nest
algebras, J. Reine Angew. Math. 348 (1984),
72–87. MR
733923 (86c:47062), http://dx.doi.org/10.1515/crll.1984.348.72
- 3.
Kenneth
R. Davidson, Nest algebras, Pitman Research Notes in
Mathematics Series, vol. 191, Longman Scientific & Technical,
Harlow, 1988. Triangular forms for operator algebras on Hilbert space. MR 972978
(90f:47062)
- 4.
J.
A. Erdos, Unitary invariants for nests, Pacific J. Math.
23 (1967), 229–256. MR 0222702
(36 #5752)
- 5.
J.
A. Erdos, Some questions concerning triangular operator
algebras, Proc. Roy. Irish Acad. Sect. A 74 (1974),
223–232. Spectral Theory Symposium (Trinity Coll., Dublin, 1974). MR 0361819
(50 #14264)
- 6.
Richard
V. Kadison and I.
M. Singer, Triangular operator algebras. Fundamentals and
hyperreducible theory., Amer. J. Math. 82 (1960),
227–259. MR 0121675
(22 #12409)
- 7.
Jon
Kraus, Tensor products of reflexive algebras, J. London Math.
Soc. (2) 28 (1983), no. 2, 350–358. MR 713389
(85g:47063a), http://dx.doi.org/10.1112/jlms/s2-28.2.350
- 8.
David
R. Larson, Nest algebras and similarity transformations, Ann.
of Math. (2) 121 (1985), no. 3, 409–427. MR 794368
(86j:47061), http://dx.doi.org/10.2307/1971180
- 9.
David
R. Larson and David
R. Pitts, Idempotents in nest algebras, J. Funct. Anal.
97 (1991), no. 1, 162–193. MR 1105658
(92i:47048), http://dx.doi.org/10.1016/0022-1236(91)90019-2
- 10.
Paul
S. Muhly, Kichi-Suke
Saito, and Baruch
Solel, Coordinates for triangular operator algebras, Ann. of
Math. (2) 127 (1988), no. 2, 245–278. MR 932297
(89h:46088), http://dx.doi.org/10.2307/2007053
- 11.
Paul
S. Muhly and Baruch
Solel, Subalgebras of groupoid 𝐶*-algebras, J. Reine
Angew. Math. 402 (1989), 41–75. MR 1022793
(90m:46098), http://dx.doi.org/10.1515/crll.1989.402.41
- 12.
J.
R. Ringrose, On some algebras of operators, Proc. London Math.
Soc. (3) 15 (1965), 61–83. MR 0171174
(30 #1405)
- 1.
- W. B. Arveson, Operator algebras and measure-preserving automorphisms, Acta Math. 118 (1967), 95-109. MR 210866
- 2.
- K. R. Davidson, Similarity and compact perturbations of nest algebras, J. Reine Angew. Math. 348 (1984), 286-294. MR 733923
- 3.
- K. R. Davidson, Nest algebras, Research notes in Math., vol. 191, Longman Scientific and Technical, Essex, 1988. MR 972978
- 4.
- J. A. Erdos, Unitary invariants for nests, Pacific J. Math. 23 (1967), 229-256. MR 222702
- 5.
- J. A. Erdos, Some questions concerning triangular operator algebras, Proc. Royal Irish Acad. 74A (1974), 223-232. MR 361819
- 6.
- R. V. Kadison and I. M. Singer, Triangular operator algebras, Amer. J. Math. 82 (1960), 227-259. MR 121675
- 7.
- J. Kraus, Tensor products of reflexive algebras, J. London Math. Soc. 28 (1983), 350-358. MR 713389
- 8.
- D. R. Larson, Nest algebras and similarity transformations, Ann. of Math. (2) 121 (1985), 409-427. MR 794368
- 9.
- D. R. Larson and D. Pitts, Idempotents in nest algebras, J. Funct. Anal. (to appear). MR 1105658
- 10.
- P. S. Muhly, K.-S. Saito, and B. Solel, Coordinates for triangular operator algebras, Ann. of Math. (2) 127 (1988), 245-278. MR 932297
- 11.
- P. S. Muhly and B. Solel, Subalgebras of groupoid C*-algebras, preprint, 1988. MR 1022793
- 12.
- J. R. Ringrose, On some algebras of operators, Proc. London Math. Soc. 15 (1965), 61-83. MR 171174
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0273-0979-1990-15958-0
PII:
S 0273-0979(1990)15958-0
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