Isomorphisms modulo the compact operators of nest algebras II



Duke Mathematical Journal

Isomorphisms modulo the compact operators of nest algebras II

Constantin Apostol and Kenneth R. Davidson

Source: Duke Math. J. Volume 56, Number 1 (1988), 101-127.

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Primary Subjects: 47D25
Secondary Subjects: 46L99

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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077306454
Mathematical Reviews number (MathSciNet): MR932858
Zentralblatt MATH identifier: 0668.47034
Digital Object Identifier: doi:10.1215/S0012-7094-88-05605-0

References

[1] N. T. Andersen, Compact perturbations of reflexive algebras, J. Funct. Anal. 38 (1980), no. 3, 366–400.
Mathematical Reviews (MathSciNet): MR82c:47005
Zentralblatt MATH: 0451.47050
Digital Object Identifier: doi:10.1016/0022-1236(80)90071-3
[2] C. Apostol, C. Foiaş, and D. Voiculescu, Some results on non-quasitriangular operators. VI, Rev. Roumaine Math. Pures Appl. 18 (1973), 1473–1494.
Mathematical Reviews (MathSciNet): MR48:12109b
Zentralblatt MATH: 0272.47002
[3] C. Apostol and F. Gilfeather, Isomorphisms modulo the compact operators of nest algebras, Pacific J. Math. 122 (1986), no. 2, 263–286.
Mathematical Reviews (MathSciNet): MR87f:47063
Zentralblatt MATH: 0625.47037
[4] William Arveson, Interpolation problems in nest algebras, J. Functional Analysis 20 (1975), no. 3, 208–233.
Mathematical Reviews (MathSciNet): MR52:3979
Zentralblatt MATH: 0309.46053
Digital Object Identifier: doi:10.1016/0022-1236(75)90041-5
[5] W. B. Arveson, Operator algebras and invariant subspaces, Ann. of Math. (2) 100 (1974), 433–532.
Mathematical Reviews (MathSciNet): MR51:1420
Zentralblatt MATH: 0334.46070
Digital Object Identifier: doi:10.2307/1970956
[6] E. Christensen and C. Peligrad, Commutants of nest algebras modulo the compact operators, Invent. Math. 56 (1980), no. 2, 113–116.
Mathematical Reviews (MathSciNet): MR80m:47038
Zentralblatt MATH: 0419.47017
Digital Object Identifier: doi:10.1007/BF01392546
[7] K. R. Davidson, Commutative subspace lattices, Indiana Univ. Math. J. 27 (1978), no. 3, 479–490.
Mathematical Reviews (MathSciNet): MR58:2340
Zentralblatt MATH: 0355.46050
Digital Object Identifier: doi:10.1512/iumj.1978.27.27032
[8] K. R. Davidson, Compact perturbations of reflexive algebras, Canad. J. Math. 33 (1981), no. 3, 685–700.
Mathematical Reviews (MathSciNet): MR83a:47047
Zentralblatt MATH: 0426.47003
[9] K. R. Davidson, Quasitriangular algebras are “maximal”, J. Operator Theory 10 (1983), no. 1, 51–56.
Mathematical Reviews (MathSciNet): MR85h:47052
Zentralblatt MATH: 0526.47022
[10] K. R. Davidson, The essential commutant of CSL algebras, Indiana Univ. Math. J. 32 (1983), no. 5, 761–771.
Mathematical Reviews (MathSciNet): MR85b:47050
Zentralblatt MATH: 0498.47003
Digital Object Identifier: doi:10.1512/iumj.1983.32.32050
[11] K. R. Davidson, Similarity and compact perturbations of nest algebras, J. Reine Angew. Math. 348 (1984), 72–87.
Mathematical Reviews (MathSciNet): MR86c:47062
Zentralblatt MATH: 0526.47023
[12] K. R. Davidson, Approximate unitary equivalence of continuous nests, Proc. Amer. Math. Soc. 97 (1986), no. 4, 655–660.
Mathematical Reviews (MathSciNet): MR87k:47101
Zentralblatt MATH: 0599.47066
Digital Object Identifier: doi:10.2307/2045923
[13] K. R. Davidson and B. H. Wagner, Automorphisms of quasitriangular algebras, J. Funct. Anal. 59 (1984), no. 3, 612–627.
Mathematical Reviews (MathSciNet): MR86c:47061
Zentralblatt MATH: 0549.47024
Digital Object Identifier: doi:10.1016/0022-1236(84)90067-3
[14] K. R. Davidson and S. C. Power, Best approximation in $C\sp \ast$-algebras, J. Reine Angew. Math. 368 (1986), 43–62.
Mathematical Reviews (MathSciNet): MR87k:47100
Zentralblatt MATH: 0579.46038
[15] J. A. Erdos, Unitary invariants for nests, Pacific J. Math. 23 (1967), 229–256.
Mathematical Reviews (MathSciNet): MR36:5752
Zentralblatt MATH: 0156.36402
[16] T. Fall, W. Arveson, and P. Muhly, Perturbations of nest algebras, J. Operator Theory 1 (1979), no. 1, 137–150.
Mathematical Reviews (MathSciNet): MR80f:47035
Zentralblatt MATH: 0455.46051
[17] F. Gilfeather and D. R. Larson, Nest-subalgebras of von Neumann algebras: commutants modulo compacts and distance estimates, J. Operator Theory 7 (1982), no. 2, 279–302.
Mathematical Reviews (MathSciNet): MR84g:47040
Zentralblatt MATH: 0567.47039
[18] F. Gilfeather and D. R. Larson, Commutants modulo the compact operators of certain CSL algebras. II, Integral Equations Operator Theory 6 (1983), no. 3, 345–356.
Mathematical Reviews (MathSciNet): MR85b:47051
Zentralblatt MATH: 0532.47029
Digital Object Identifier: doi:10.1007/BF01691902
[19] A. Hopenwasser and J. Plastiras, Isometries of quasitriangular operator algebras, Proc. Amer. Math. Soc. 65 (1977), no. 2, 242–244.
Mathematical Reviews (MathSciNet): MR56:6421
Zentralblatt MATH: 0337.46054
Digital Object Identifier: doi:10.2307/2041899
[20] B. E. Johnson and S. K. Parrott, Operators commuting with a von Neumann algebra modulo the set of compact operators, J. Functional Analysis 11 (1972), 39–61.
Mathematical Reviews (MathSciNet): MR49:5869
Zentralblatt MATH: 0237.46070
Digital Object Identifier: doi:10.1016/0022-1236(72)90078-X
[21] D. R. Larson, A solution to a problem of J. R. Ringrose, Bull. Amer. Math. Soc. (N.S.) 7 (1982), no. 1, 243–246.
Mathematical Reviews (MathSciNet): MR83k:46046
Zentralblatt MATH: 0516.47024
[22] D. R. Larson, Nest algebras and similarity transformations, Ann. of Math. (2) 121 (1985), no. 3, 409–427.
Mathematical Reviews (MathSciNet): MR86j:47061
Zentralblatt MATH: 0606.47045
Digital Object Identifier: doi:10.2307/1971180
[23] J. K. Plastiras, Quasitriangular operator algebras, Pacific J. Math. 64 (1976), no. 2, 543–549.
Mathematical Reviews (MathSciNet): MR55:1094
Zentralblatt MATH: 0315.46060
[24] J. K. Plastiras, Compact perturbations of certain von Neumann algebras, Trans. Amer. Math. Soc. 234 (1977), no. 2, 561–577.
Mathematical Reviews (MathSciNet): MR56:16444
Zentralblatt MATH: 0377.46053
Digital Object Identifier: doi:10.2307/1997936
[25] C. E. Rickart, General theory of Banach algebras, The University Series in Higher Mathematics, D. van Nostrand Co., Inc., Princeton, New Jersey-Toronto-London-New York, 1960.
Mathematical Reviews (MathSciNet): MR22:5903
Zentralblatt MATH: 0095.09702
[26] J. R. Ringrose, On some algebras of operators, Proc. London Math. Soc. (3) 15 (1965), 61–83.
Mathematical Reviews (MathSciNet): MR30:1405
Zentralblatt MATH: 0135.16804
[27] J. R. Ringrose, On some algebras of operators. II, Proc. London Math. Soc. (3) 16 (1966), 385–402.
Mathematical Reviews (MathSciNet): MR33:4703
Zentralblatt MATH: 0156.14301
[28] B. H. Wagner, Derivations of quasitriangular algebras, Pacific J. Math. 114 (1984), no. 1, 243–255.
Mathematical Reviews (MathSciNet): MR86a:47043
Zentralblatt MATH: 0587.47050

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