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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)
     

Book Review

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Book Information

Author(s): Vern I. Paulsen
Title: Completely bounded maps and dilations
Additional book information: Pitman Research Notes in Mathematics, vol. 146, Longman Scientific and Technical, Essex, and John Wiley and Sons, New York, 1986, 187 pp., $38.95. ISBN 0-582-98896-9


References:

1.
W. B. Arveson, Subalgebras of C*-algebras, Acta Math. 123 (1969), 141-224. MR 253059
2.
P. R. Halmos, A Hilbert space problem book, revised edition, Springer-Verlag, New York, 1982. MR 675952
3.
M. A. Naimark, On a representation of additive operator set functions, C. R. (Doklady) Acad. Sci. USSR 41 (1943), 359-361. MR 10789
4.
W. F. Stinespring, Positive functions on C*-algebras, Proc. Amer. Math. Soc. 6 (1955), 211-216. MR 69403
5.
B. Sz. -Nagy, Sur les contractions de espace de Hilbert, Acta Sci. Math. (Szeged) 15 (1953), 87-92. MR 58128
6.
B. Sz. -Nagy and C. Foiaş, Harmonic analysis of operators on Hilbert space, American Elsevier, New York, 1970. MR 275190


Additional Information:

Reviewer(s):
John W. Bunce

Review Information:
Journal: Bull. Amer. Math. Soc. 17 (1987), 358-359.
DOI: 10.1090/S0273-0979-1987-15593-5
PII: S 0273-0979(1987)15593-5


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