Joel H. Shapiro

Publications

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On the Toeplitzness of composition operators (with Fedor Nazarov), Complex Variables and Elliptic Eqns., to appear.

On convergence to the Denjoy-Wolff Point (with Paul Bourdon and Valentin Matache), Illiinois J. Math. 49 (2005), 405--430.

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

Mean growth of Koenigs eigenfunctions  (with Paul S. Bourdon), Journal of the American Math. Society 10 (1997), 299--325. MR 97h:30040.

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

Fourier series, mean Lipschitz spaces, and bounded mean oscillation (with P. 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 Nagel and Rudin), Proceedings of harmonic analysis conference in honor of Antoni Zygmund, Wadsworth 1983, 533--548 (Summary of the previous 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.