Report 36/2005: Mini-workshop: Operators on spaces of analytic functions (Q870678)

Summary: The major topics discussed in this workshop were invariant subspaces of linear operators on Banach spaces of analytic functions, the ideal structure of \(H^\infty\), asymptotics for condition numbers of large matrices, and questions related to composition operators, frequently hypercyclic operators, subnormal operators and generalized Cesàro operators. A list of open problems raised at this workshop is also included. Contributions: -- Aharon Atzmon, Invariant subspaces for shifts and for backward shifts (p. 2049) -- Aharon Atzmon, Hilbert spaces of entire functions and translation invariant subspaces (p. 2050) -- Nathan S. Feldman, Interpolating Measures for Subnormal Operators (p. 2051) -- William T. Ross (joint with Warren Wogen), Common cyclic vectors for normal operators (p. 2052) -- Serguei Shimorin, Branching point area theorems for univalent functions (p. 2054) -- Nikolai Nikolski, Asymptotics of Condition Numbers of Large Matrices (p. 2055) -- Alexander Borichev (joint with Yuri Lyubarskii), Uniqueness theorems for Korenblum type spaces (p. 2059) -- Sophie Grivaux (joint with Frédéric Bayart), Ergodic linear measure-preserving transformations of Banach spaces (p. 2061) -- Karl-Goswin Grosse-Erdmann (joint with Antonio Bonilla and Alfredo Peris), On frequent hypercyclicity (p. 2063) -- Wayne Smith, Brennan's conjecture for weighted composition operators (p. 2065) -- T. Gamelin (joint with P. Galindo, M. Lindström), Composition Operators on Uniform Algebras (p. 2066) -- Eva A. Gallardo-Gutiérrez (joint with María J. González and Artur Nicolau), Composition operators on Hardy spaces of a simply connected domain (p. 2067) -- Carl Sundberg (joint with Eero Saksman), Comparing topologies on the space of composition operators (p. 2069) -- Stefan Richter (joint with Alexandru Aleman, Carl Sundberg), Analytic contractions, nontangential limits, and the index of invariant subspaces (p. 2070) -- Alexandru Aleman (joint with Stefan Richter, Carl Sundberg), Some examples concerning boundary behavior and index in Hilbert spaces of analytic functions (p. 2072) -- Hans Jarchow, Hahn-Banach Extension of Bilinear Forms (p. 2074) --Michael T. Jury, C*-algebras generated by composition operators (p. 2077) -- Ernst Albrecht (joint with Len Miller, Michael M. Neuman, Vivien G. Miller), Spectral properties of generalized Cesàro operators (p. 2079) -- Raymond Mortini (joint with Pamela Gorkin), Countably generated prime ideals in \(H^\infty\) (p. 2081) -- Special session, List of open problems (p. 2082).