On the maximality of subdiagonal algebras

Journal of Operator Theory

Volumn 54, Issue 1, 2005, Pages 137-146

  Xu, Quanhua ^a  

^a UNIVERSITÉ DE FRANCHE COMTÉ   (France)

Author keywords

Conditional expectation; Maximality; Modular group; Subdiagonal algebra

Indexed keywords

EID: 27844464906     PISSN: 03794024     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (18)

1. W.B. ARVESON, Analyticity in operator algebras, Amer. J. Math. 89(1967), 578-642.
2. A. CONNES, Une classification des facteurs de type. III, Ann. Sci. École Norm. Sup. 4(1973), 133-252.
3. R. EXEL, Maximal subdiagonal algebras, Amer. J. Math. 110(1988), 775-782.
4. U. HAAGERUP, Noncommutative integration theory, unpublished manuscript, 1978.
5. H. HELSON, Lectures on Invariant Subspaces, Academic Press, New York-London 1964.
6. H. HELSON, D. LOWDENSLAGER, Prediction theory and Fourier series in several variables. I, Acta Math. 99(1958), 165-202;
7. H. HELSON, D. LOWDENSLAGER, Prediction theory and Fourier series in several variables. I. Acta Math. 106(1961), 175-213.
8. G.-X. JI, Maximally of semi-finite subdiagonal algebras, J. Shaanxi Normal Univ. Nat. Sci. Ed. 28(2000), 15-17.
9. G.-X. JI, T. OHWADA, K.-S. SAITO, Certain structure of subdiagonal algebras, J. Operator Theory 39(1998), 309-317.
10. G.-X. JI, K.-S. SAITO, Factorization in subdiagonal algebras, J. Funct. Anal. 159(1998), 191-202.
11. M. JUNGE, Q. Xu, in preparation.
12. R. V. KADISON, J.R. RINGROSE, Fundamentals of the Theory of Operator Algebras. II, Academic Press, town 1986.
13. 2 spaces, Proc. Amer. Math. Soc. 125(1997), 779-784.
14. P-spaces, J. Operator Theory 40(1998), 339-355.
15. 1, Indiana Univ. Math. J. 47(1998), 489-500.
16. Ş. STRÄTILÄ, Modular Theory in Operator Algebras, Editura Academiei, Bucureşti and Abacus Press, Tunbridge Wells 1981.
17. N. WIENER, P. MASANI, The prediction theory of multivariate stochastic processes. I, II, Acta Math. 98(1957), 111-150;
18. N. WIENER, P. MASANI, The prediction theory of multivariate stochastic processes. II. Acta Math. 99(1958), 93-137.