Joel H. Shapiro

Publications

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• Strongly compact algebras associated with composition operators, 
  submitted for publication May 2012.
  
  
• Composition operators (heart) 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 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 A. Nagel and W. 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 endomorphism (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.