Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Bibliography
L.Accardi. Noncommutative Markov chains,Proc. School of Math.Phys. Camerino (1974).
L. Accardi, C. Cecchini. Conditional expectations in von Neumann algebras and a theorem of Takesaki. J.Funct.Anal. 45 (1982), 245–273.
L.Accardi, C.Cecchini. Surjectivity of the conditional expectations on the L1 spaces, to appear on the Proceedings of the Cortona Harmonic Analysis Conference (1982)
F. Combes. Poids associé a une algèbre Hilbertienne a gauche, Compositio Math. 23 (1971) 49–77.
A. Connes. Sur le theorème de Radon-Nikodyn pour les poids normaux fidèles semifinies, Bull. Soc. Math. France 2-eme serie 97 (1973) 253–258.
A. Connes Une classification des facteurs de type III, Ann. Sci. Ecole Norm. Sup. 4-ème serie 6 fasc. 2 (1973) 133–252.
A. Connes. On the spatial theory of von Neumann algebras, J. Funct. Anal. 35 (1980) 153–164.
V.Ya. Golodez. Conditional expectations and modular automorphism of von Neumann algebras, Functional Anal. Appl. 6 (1972) 68–69
U. Haagerup. Operator valued weights in von Neumann algebras I, J. Funct. Anal. 32 (1979) 175–206; II,33 (1979) 339–361.
M. Hilsum. Les espaces Lp d'une algèbre de von Neumann définies par la derivée spatiale, J. Funct. Anal. 40 (1981) 151–169.
S.T.C. Moy. Characterization of conditional expectation as a transformation of function spaces, Pacific J. Math. 4 (1954) 47–64.
M. Nakamura-T. Turmaru. Expextations in an operator algebra, Tohoku Math. J. 6 (1954) 174–176.
A.N. Sherstnev. A general theory of measure and integration in von Neumann algebras (in Russian), Matematika 8 (1982) 20–35.
M. Takesaki. Tomita's theory of modular Hilbert algebras and its applications, Lecture Notes in Mathematics no 128. Springer Verlag, Berlin New York (1970).
M. Takesaki. Conditional expectations in von Neumann algebras, J.Funct. Anal. 9 (1972) 306–321.
J. Tomyiama. On the projection of norm one in W* algebras I, Proc.Japan Acad. 33 (1957) 608–612; II Tohoku Math. J. 10 (1958) 204–209, III,11 (1959) 204–209.
N.V.Trunov. On a noncommutative analogue of the space Lp, English transl. in Soviet Mathematics (Izvestiya VUZ Matematikan) 23 no 11 (1979) 71–79.
H. Umegaki. Conditional expectations in an operator algebra I, Tohoku Math.J. 6 (1954) 177–181; II,8 (1956) 86–100; III Kodai Math. Sem. Rep. 11 (1959) 51–64;IV, 14 (1962) 59–85.
A.A. Zoletarev. Lp spaces on von Neumann algebras and interpolation (in Russian), Matematika 8 (1982) 36–43.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1984 Springer-Verlag
About this paper
Cite this paper
Cecchini, C. (1984). Noncommutative integration and conditioning. In: Accardi, L., Frigerio, A., Gorini, V. (eds) Quantum Probability and Applications to the Quantum Theory of Irreversible Processes. Lecture Notes in Mathematics, vol 1055. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0071711
Download citation
DOI: https://doi.org/10.1007/BFb0071711
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-12915-8
Online ISBN: 978-3-540-38798-5
eBook Packages: Springer Book Archive