Joel H. Shapiro

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A Fixed-Point Farrago, (book, 221p) Springer 2016.

Strongly compact algebras associated with composition operators

New York J. Math. 18 (2012) 849-875.

Composition operators ♥ Toeplitz operators, in: "Five Lectures in Complex Analysis," Contemporary Mathematics, vol. 525, Amer. Math. Soc., Providence, RI, 2010, pp. 117-139.

Eigenfunctions for hyperbolic composition operators--redux

Operator Theory: Advances and Applications 202 (2010) 519--534.

Intertwining relations and extended eigenvalues for analytic Toeplitz operators (with Paul S. Bourdon), Illinois J. Math. 52 (2008) 1007--1030.

Adjoints of rationally induced composition operators (with Paul S.Bourdon)

J. Functional Analysis 255 (2008) 1995--2012.

On the outputs of linear control systems, J. Math. Anal. Appl., 340 (2008) 116--125.

Every composition operator is (mean) asymptotically Toeplitz

J. Math. Anal. Appl. 333 (2007) 523--529.

On the toeplitzness of composition operators (with Fedor Nazarov)

Complex Variables and Elliptic Eqns. 52 (2007),193--210.

On convergence to the Denjoy-Wolff Point
(with Paul S. Bourdon and Valentin Matache)

Illinois J. Math. 49 (2005) 405--430.

Some properties of N-supercyclic operators
(with Paul S. Bourdon and Nathan Feldman)

Studia Mathematica 165 (2) (2004) 135--157.

Hardy spaces that support no compact composition operators
(with Wayne Smith)

J. Functional Analysis 205 (2003) 62--89.

Which linear-fractional composition operators are essentially normal? (with Paul S. Bourdon, David Levi, and Sivaram K. Narayan), J. Math. Anal. Appl. 280 (2003) 30--53.

When is zero in the numerical range of a composition operator?
(with Paul S. Bourdon)

Integral Equations and Operator Theory 44 (2002) 401--441.

Decomposability and the cyclic behavior of parabolic composition operators,
in: *Recent Progress in Functional Analysis,*
Proceedings of the International Functional Analysis Meeting on the
Occasion of the 70th Birthday of Professor Manuel Valdivia, Valencia,
Spain, July 3-7, 2000, K.D. Bierstedt, J. Bonet, M. Maestre, J. Schmets
(ed.), North-Holland Math. Studies, 2001.

The numerical ranges of automorphic composition operators
(with Paul S. Bourdon)

J. Math. Analysis and
Appl. 251 (2000) 839-854.

Hypercyclic operators that commute with the Bergman backward shift
(with Paul S. Bourdon)

Trans. Amer. Math. Soc. 352 (2000) 5293--5316.

Compact Composition operators on the Smirnov class
(with Jun Soo Choa and Hong Oh Kim)

Proc. Amer. Math. Soc. 128 (2000)
2297--2308, MR 2000k:47034.

What do composition operators know about inner functions?

Monatshefte für Mathematik 130 (2000) 57--70.

Simple Connectivity and Linear Chaos, Rend. Circ. Mat. Palermo, Ser. II, Suppl. 56 (1998) 27--48.

Composition operators and Schroeder's functional equation,

Contemp. Math. 213 (1998), 213--228, MR 98m:47048.

Riesz composition operators (with Paul S. Bourdon)

Pacific J. Math. 181 (1997), 231--245, MR 98j:47068.

Cyclic Phenomena for Composition Operators (with Paul S. Bourdon), Memoirs of the American Math. Society #596, Vol. 125, 1997, pp.1--105, American Math. Society, Providence, R.I., January 1997. MR 97h:47023 (Featured Review).

Geometric models and compactness of composition operators (with David A. Stegenga and Wayne Smith), J. Functional Analysis 127 (1995) 21--62, MR 95m:47051 (Featured Review).

Composition Operators and Classical Function Theory,

Springer Verlag, New York, 1993 MR 94k:47049.

Random Dirichlet functions: multipliers and smoothness
(with G. Cochran and D. Ullrich)

Canadian J. Math. 45 (2) 1993, 255--268. MR 94f:30001.

The cyclic behavior of translation operators on Hilbert spaces of entire functions (with Kit Chan), Indiana Univ. Math. J. 40 (1991) 1421--1449. MR 92m:47060.

Cyclic composition operators on H^{2}
(with Paul S. Bourdon) *Operator Theory: Operator Algebras and Applications* (Durham, N.H. 1988) 43--55,
Proc. Sympos. Pure Math. Part 2, American Math. Soc. 51 (1990) (Summary of first part of *Cyclic
Phenomena for Composition Operators,* above). MR 91h:47028

Operators with dense, invariant cyclic vector manifolds
(with Gilles Godefroy)

J. Functional Analysis 98 (1991) 229--269. MR 92d:47029

Isolation amongst the composition operators
(with Carl Sundberg)

Pacific J. Math. 145 (1990), 117--152. MR 92g:47041

Compact composition operators on L^{1} (with Carl
Sundberg)

Proc. Amer. Math. Soc. 108 (1990), 443--449. MR 90d:47035

Spectral synthesis and common cyclic vectors (with Paul S. Bourdon)

Michigan Math. J. 37 (1990), 71--90. MR 91m:47039

Fourier series, mean Lipschitz spaces, and bounded mean oscillation
(with Paul S. Bourdon and W. T. Sledd) In *Analysis at Urbana, Vol. 1:
Proceedings of the Illinois Special Year in Analysis,* pp 81 --
110. Cambridge Univ. Press, 1989. MR 90j:42011

Cluster set, essential range, and distance estimates in BMO

Michigan Math. J. 34 (1987), 323--336. MR 89b:30029

Universal
vectors for operators on spaces of holomorphic functions (with R.M. Gethner),

Proc. Amer. Math. Soc. 100 (1987), 281--188. MR 88g:47060

Compact composition operators on spaces of boundary-regular holomorphic
functions

Proc. Amer. Math. Soc. 100 (1987) 49--57. MR 88c:47059

The essential norm of a composition operator, Annals of Math. 125 (1987) 375--404. MR 88c:47058

Angular derivatives and compact composition operators on the Hardy and Bergman spaces (with B. D. MacCluer), Canadian J. Math. 38 (1986) 878--906. MR 87h:47048

Putnam's
theorem, Alexander's spectral area estimate, and VMO (with Sheldon Axler)

Math. Annalen 271 (1985) 161--183. MR 87b:30053

Linear topological properties of the harmonic Hardy spaces h^{p} for 0 < p < 1, Illinois J. Math. 29 (1985) 311--339. MR 86f:46023

Tangential boundary behavior of harmonic extensions of L^{p} potentials
(with A. Nagel and W. Rudin), Proceedings of harmonic analysis
conference in honor of Antoni Zygmund, Wadsworth 1983, 533--548
(Summary of the next paper). MR 85e:31002

Tangential
boundary behavior of functions in Dirichlet-type spaces (with
A. Nagel and W. Rudin)

Annals of Math. 116 (1982) 331--360. MR 84a:31002

Hausdorff measure and Carleson thin sets,

Proc. Amer. Math. Soc. 79 (1980) 67--72. MR 81m:28001

Cauchy transforms and Beurling-Carleson-Hayman thin sets,

Michigan Math. J. 27 (1980) 339--351. MR 82b:30039

Zeros of random functions in Bergman spaces

Ann. Inst. Fourier (Grenoble) 29 (1979) 159--171. MR 81 h:30054

Subspaces of L^{p}(G) spanned by characters: 0 < p < 1

Israel J. Math. 29 (1978) 248--264. MR 57:17123

Zeros of functions in weighted Bergman spaces, Michigan Math. J. 24 (1977) 243--256. MR 57:3404

Remarks on F-spaces of analytic functions, Springer Lecture Notes # 604 (1977) 107--124. (Survey article in: Proceedings of NSF-CBMS Conference on Banach Spaces of Analytic Functions, Kent State University, July 1976.) MR 58:7050

Mackey topologies, reproducing kernels, and diagonal maps on the Hardy and Bergman spaces

Duke Math. J. 43 (1976) 187--202. MR 58:17806

Unusual topological properties of the Nevanlinna Class (with Allen L. Shields)

American J. Math. 97 (1976) 915--936. MR 52:11053

Bases and basic sequences in F-spaces
(with N.J. Kalton)

Studia Math. 56 (1976) 47--61. MR 54:8215

An F-space with trivial dual and non-trivial compact endomorphisms
(with N.J. Kalton)

Israel J. Math. 20 (1975) 282--291. MR 53:6271

On the weak basis theorem in F-spaces, Canadian J. Math. 26 (1974) 1294--1300. MR 50:7990

Compact, nuclear, and Hilbert-Schmidt composition operators on H^{2}
(with P.D. Taylor)

Indiana Univ. Math. J. 23 (1973) 471--496. MR 48:4816

Non-coincidence of the strict and strong operator topologies

Proc. Amer. Math. Soc. 35 (1972) 81--87. MR 46:6000

On convexity and compactness in F-spaces with bases

Indiana Univ. Math. J. 21 (1972) 1073--1090. MR 45:4105

The bounded weak star topology and the general strict topology

J. Functional Analysis 8 (1971) 275--286. MR 44:7294

Weak topologies on subspaces of C(S), Trans. Amer. Math. Soc. 157 (1971) 471--479. MR 54:3375

Extension of linear functionals on F-spaces with bases

Duke Math. J. 37 (1970) 639--645. MR 42:5004

Nonconvex linear topologies with the Hahn Banach extension property, (with David A. Gregory)

Proc. Amer. Math. Soc. 25 (1970) 902--905. MR 41:8957

Examples of proper, closed, weakly dense subspaces in nonlocally convex F-spaces

Israel J. Math. 7 (1969) 369--380. MR 41:2346