Functional calculus and its application to operator algebras

Integral Equations and Operator Theory

Volumn 24, Issue 4, 1996, Pages 484-496

  Zheng, Xiaojun ^a  

^a INDIANA UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030115206     PISSN: 0378620X     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf01191622     Document Type: Article

References (12)

1. C. Apostol, Ultraweakly closed operator algebras, J. Operator Theory 2(1979), 49-61.
2. H. Bercovici, Factorization theorems and the structure of operators on Hilbert space, Ann. of Math. 128 (1988), 399-413.
3. H. Bercovici, Factorization theorems for integrable functions, in "Analysis at Urbana,II" E.R. Berkson et al.,eds., Cambridge University press, Cambridge, 1988.
4. H. Bercovici, C. Foias and C. Pearcy,Dual algebras with applications to invariant subspaces and dilation theory, C.B.M.S. Regional conference series in Math. no.56, Amer. Math. Soc. Providence,1985.
5. H. Bercovici and W.S. Li, Normal Boundary Dilations and Rationally Invariant Subspaces, preprint.
6. S. Brown, B. Chevreau and C. Pearcy, Contractions with rich spectrum have invariant subspaces, J.Operator Theory 1 (1979),123-136.
7. ∞(Ω), and invariant subspaces, J. Operator Theory 6 (1981), 375-405.
8. B. Chevreau, Sur les contraction à calcul fonctionnel isométrique, II, J. Operator Theory 20 (1988) 269-293.
9. R.G. Douglas and V. Paulsen, Completely bounded maps and hypo-Dirichlet algebras, Acta Sci. Math. (Szeged) 50 (1986), 143-157.
10. K. Hoffman, "Banach spaces of Analytic Functions", Prentice Hall,Englewood Cliffs, 1962.
11. B. Sz.-Nagy and C. Foias, "Harmonic analysis of operators on Hilbert space", North Holland,Amsterdam, 1970.
12. X. Zheng, On the reflexivity of operator algebras with isometric functional calculus. preprint.