Linear fractional composition operators on H2

J. G. Caughran andH. J. Schwartz. Spectra of compact composition operators,Proc. Amer. Math. Soc. 51 (1975), 127?130.

C. C. Cowen. Iteration and the solution of functional equations for functions analytic in the unit disk,Trans. Amer. Math. Soc. 265(1981), 69?95.

C. C. Cowen. Composition operators onH 2 J. Operator Theory 9 (1983), 77?106.

C. C. Cowen. Subnormality of the Cesaro operator and a semigroup of composition operators,Indiana Univ. Math. J. 33(1984), 305?318.

C. C. Cowen andT. L. Kriete. Subnormality and composition operators onH 2,preprint.

J. A. Deddens. Analytic Toeplitz and composition operators,Canadian J. Math. 24(1972), 859?865.

R. G. Douglas.Banach Algebra Techniques in Operator Theory, Academic Press, New York, 1972.

M. R. Embry. A generalization of the Halmos-Bram criterion for subnormality,Acta Sci. Math. (Szeged) 35(1973), 61?64.

T. Ito. On the commutative family of subnormal operators,J. Fac. Sci. Hokkaido Univ. (Sapporo),14(1958), 1?15.

H. Kamowitz. The spectra of composition operators,J. Functional Analysis 18(1975), 132?150.

B. D. MacCluer andJ. H. Shapiro. Angular derivatives and compact composition operators on the Hardy and Bergman spaces,Canadian J. Math. 38(1986), 878?906.

E. A. Nordgren. Composition operators,Canadian J. Math. 20(1968) 442?449.

E. A. Nordgren. Composition operators on Hilbert space, inHilbert Space Operators, Lecture Notes in Math.693 Springer-Verlag, Berlin, 1978, 37?63.

E. A. Nordgren, P. Rosenthal, andF. S. Wintrobe. Invertible composition operators onH p ,preprint.

H. J. Schwartz.Composition Operators, on H p , Thesis, University of Toledo, 1969.

J. H. Shapiro. The essential norm of a composition operator,Ann. of Math. 125(1987), 375?404.

J. H. Shapiro andP. D. Taylor. Compact, nuclear, and Hilbert-Schmidt composition operators onH p ,Indiana Univ. Math. J. 23(1973), 471?496.