×

zbMATH — the first resource for mathematics

A remark on the expectations. (English) Zbl 0102.10802

PDF BibTeX XML Cite
Full Text: DOI
References:
[1] BENDAT, J., AND SHEREMAN, Mnonotone and convex operator functions. Trans. Amer. Math. Soc. 79 (1951), 58-71. · Zbl 0064.36901
[2] DAVIS, CHANDLER, A Schwarz inequality for convex operator functions. Proc Amer. Math. Soc. 8 (1957), 42-44. · Zbl 0080.10505
[3] DAVIS, GRANDER, Various averaging operations onto subalgebras, 111. J. Math 3 (1959), 538-553. · Zbl 0087.11404
[4] DIXMIER, J., Les algebres d’operateurs dans espace hilbertien. Paris, 1957 · Zbl 0088.32304
[5] DUBREIL-JACOTIN, J. -L., Etude algebrique des transformations de Reynolds Colloque d’Algebre Bruxelles, December, 1956. · Zbl 0088.32703
[6] NAKAMURA, M., A remark on the integral decomposition of a measure. Mem Osaka Univ. Liberal-Arts and Ed. B 3 (1954), 25-28.
[7] NAKAMURA, M., AND T. TURUMARU, Expectations in an operator algebra Thoku Math. J. 6 (1954), 182-188. · Zbl 0058.10504
[8] STINESPRING, W. F., Positive functions on C*-algebras. Proc. Amer. Math Soc. 6 (1955), 211-216. · Zbl 0064.36703
[9] TOMIYAMA, J., On the projection of norm one in PF*-algebras. Proc. Jap Acad. 33 (1957), 608-612. · Zbl 0081.11201
[10] UMEGAKI, H., Positive definite functions and direct product Hilbert space Thoku Math. J. 7 (1955), 206-211. · Zbl 0066.36203
[11] UMEGAKI, H., Conditional expectation in an operator algebra, I-III. Thok Math. J. 6 (1954), 177-181; 8 (1956), 86-100;Kdai Math. Sem. Rep.11 (1959), 51-64. · Zbl 0058.10503
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.