Acta Mathematica

Subalgebras of C*-algebras II

William Arveson

Full-text: Open access

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Research supported by NSF Grant GP-5585.

Note

This revised version was published online in November 2006 with corrections to the Cover Date.

Article information

Source
Acta Math. Volume 128 (1972), 271-308.

Dates
Received: 6 April 1971
First available in Project Euclid: 31 January 2017

Permanent link to this document
http://projecteuclid.org/euclid.acta/1485889725

Digital Object Identifier
doi:10.1007/BF02392166

Zentralblatt MATH identifier
0245.46098

Rights
1972 © Almqvist & Wiksells Boktryckeri AB

Citation

Arveson, William. Subalgebras of C * -algebras II. Acta Math. 128 (1972), 271--308. doi:10.1007/BF02392166. http://projecteuclid.org/euclid.acta/1485889725.


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References

  • Arveson, W., Subalgebras of C*-algebras. Acta Math., 123 (1969), 141–224.
  • Arveson, W., Representations of C*-algebras. To appear in the M.A.A. volume Studies in Operator Theory.
  • —, Unitary invariants for compact operators. Bull. Amer. Math. Soc., 76 (1970), 88–91.
  • Bendat, J. & Sherman, S., Monotone and convex operator functions. Trans. Amer. Math. Soc. 79 (1955), 58–71.
  • Berger, C., Ph.D. dissertation, Cornell University, 1963.
  • Coburn, L., Weyl's theorem for nonnormal operators. Michigan Math. J., 13 (1966), 285–288.
  • Dixmier, J.. Les algèbres d'operateurs dans l'espace Hilbertien, Gauthier-Villars, Paris, 1957.
  • —, Les C*-algèbres et leurs representations. Gauthier-Villars, Paris, 1964.
  • Foias, C., Some applications of spectral sets I. (In roumainian.), Stud. Cerc. Mat., 10 (1959), 365–401.
  • Gamelin, T., Uniform algebras. Prentice Hall, Englewood Cliffs, 1969.
  • Halmos, P., A Hilbert space problem book. Van Nostrand, Princeton, 1967.
  • Lebow, A., On von Neumann's theory of spectral sets. J. Math. Anal. Appl., 7 (1963), 64–90.
  • von Neumann, J., Eine Spektraltheorie für allgemeine Operatoren eines unitären Raumes. Math. Nachr., 4 (1951), 258–281.
  • Parrott, S., Unitary dilations for commuting contractions. Pacif. J. Math., 34 (1970), 481–490.
  • Riesz, F. & Sz.-Nagy, B., Functional analysis. Frederick Ungar New York, 1965.
  • Rota, G.-C., On models for linear operators Comm. Pure Appl. Math., 13 (1960), 469–472.
  • Stinespring, W., Positive functions on C*-algebras. Proc. Amer. Math. Soc., 6 (1955), 211–216.
  • Waelbroeck, L., Le calcule symbolique dans les algèbres commutatives. Journal Math. Pures Appl., 33 (1954), 147–186.
  • Ando, On a pair of commutative contractions. Acta Sci. Math. (Szeged), 24 (1963), 88–90.
  • Sarason, D., On spectral sets having connected complement. Acta Sci. Math. (Szeged), 26 (1965), 289–299.