Kodai Mathematical Seminar Reports

Conditional expectation in an operator algebra. IV. Entropy and information

Hisaharu Umegaki

Full-text: Open access

Article information

Source
Kodai Math. Sem. Rep., Volume 14, Number 2 (1962), 59-85.

Dates
First available in Project Euclid: 1 February 2006

Permanent link to this document
https://projecteuclid.org/euclid.kmj/1138844604

Digital Object Identifier
doi:10.2996/kmj/1138844604

Mathematical Reviews number (MathSciNet)
MR0142006

Zentralblatt MATH identifier
0199.19706

Subjects
Primary: 46.65

Citation

Umegaki, Hisaharu. Conditional expectation in an operator algebra. IV. Entropy and information. Kodai Math. Sem. Rep. 14 (1962), no. 2, 59--85. doi:10.2996/kmj/1138844604. https://projecteuclid.org/euclid.kmj/1138844604


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References

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  • [16] NAKAMURA, M., AND H. UMEGAKI, A note on the entropy for operator algebras Proc. Japan Acad. 37 (1961), 149-154.
  • [17] NAKAMURA, M., AND H. UMEGAKI, On the Blackwell theorem in operator algebra Proc. Japan Acad. 37 (1961), 312-315.
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  • [25] UMEGAKI, H., Conditional expectation in an operator algebra. Thoku Math. J. 6 (1954), 177-181
  • [26] UMEGAKI, H., Conditional expectation in an operator algebra, II. Thoku Math J. 8 (1956), 86-100.
  • [27] UMEGAKI, H., Conditional expectation in an operator algebra, III. Kdai Math Sem. Rep. 11 (1959), 51-64.
  • [28] UMEGAKI, H., Oninformation in operator algebras. Proc. Japan Acad. 37 (1961), 459-461

See also

  • Part I: Hisaharu Umegaki. Conditional expectation in an operator algebra. I. Tohoku Math. J., II Ser., Volume 6 (1954), pp. 177-181.
  • Part II: Hisaharu Umegaki. Conditional expectation in an operator algebra. II. Tohoku Math. J., II Ser., Volume 8 (1956), pp. 86-100.
  • Part III: Hisaharu Umegaki. Conditional expectation in an operator algebra. III. Kodai Math. Sem. Rep., Volume 11, Number 2 (1959).