Bulletin of the American Mathematical Society

MathSciNet review: 1567644
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Book Information:

Author: 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.

William B. Arveson, Subalgebras of $C^{\ast }$-algebras, Acta Math. 123 (1969), 141–224. MR 253059, DOI 10.1007/BF02392388

Paul Richard Halmos, A Hilbert space problem book, 2nd ed., Encyclopedia of Mathematics and its Applications, vol. 17, Springer-Verlag, New York-Berlin, 1982. MR 675952

M. A. Neumark, On a representation of additive operator set functions, C. R. (Doklady) Acad. Sci. URSS (N.S.) 41 (1943), 359–361. MR 0010789

W. Forrest Stinespring, Positive functions on $C^*$-algebras, Proc. Amer. Math. Soc. 6 (1955), 211–216. MR 69403, DOI 10.1090/S0002-9939-1955-0069403-4

Béla Sz.-Nagy, Sur les contractions de l’espace de Hilbert, Acta Sci. Math. (Szeged) 15 (1953), 87–92 (French). MR 58128

Béla Sz.-Nagy and Ciprian Foiaş, Harmonic analysis of operators on Hilbert space, North-Holland Publishing Co., Amsterdam-London; American Elsevier Publishing Co., Inc., New York; Akadémiai Kiadó, Budapest, 1970. Translated from the French and revised. MR 0275190

1.

W. B. Arveson, Subalgebras of C*-algebras, Acta Math. 123 (1969), 141-224. MR 0253059

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