## Recent Advances in Operator Theory, Operator Algebras, and their Applications: XIXth International Conference on Operator Theory, Timisoara (Romania), 2002Dumitru Gaspar, Israel Gohberg, Dan Timotin, Florian H. Vasilescu, Laszlo Zsido The Romanian conferences in operator theory, as they are now commonly called, havestartedintheyear1976asanannualworkshoponoperatortheoryheldatthe University of Timi ̧ soara, originally only with Romanian attendance. The meeting soon evolved into an international conference, with an increasingly larger parti- pation. It has been organized jointly, initially by the Department of Mathematics of INCREST and by the Faculty of Sciences of the University of Timi ̧ soara, then (since 1990) by the Institute of Mathematics of the Romanian Academy and the Faculty of Mathematics of the West University of Timi ̧ soara. The venue was u- ally Timi ̧ soara (and, occasionally, Herculane, Bucharest or Predeal). Since 1986 the conference has been regularly held biannually at the beginning of the summer. The 19th Conference on Operator Theory (OT 19) took place between June 27th and July 2nd 2002, at the West University of Timi ̧ soara. It is a pleasure to acknowledge the considerable ?nancial support received through the p- gramme EURROMMAT of the European Community, under contract ICA1-CT- 2000-70022. Partial support has also been provided by the Romanian Ministry of Education, Research and Youth, grants CERES 152/2001 and 153/2001. The full programme of the conference is included in the sequel. It is worth mentioning also a special event that has taken place during the conference: p- fessor Israel Gohberg has been awarded the title of Doctor Honoris Causa of the West University of Timi ̧ soara. |

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### Contents

Beltita | 12 |

T Bˆınzar and D Paunescu | 39 |

Buneci | 61 |

Carrot | 79 |

G Cassier H Mahzouli and E H Zerouali | 102 |

F Fidaleo and C Liverani | 123 |

P Gaspar | 143 |

R Kumar and J R Partington | 157 |

A S Pechentsov | 210 |

F Radulescu | 229 |

Shchukin and E Vatkina | 248 |

N Tita | 265 |

Uniform Exponential Stability and Uniform Observability | 287 |

G Weiss | 307 |

Zielinski | 321 |

Megan A L Sasu and B Sasu | 185 |

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Recent Advances in Operator Theory, Operator Algebras, and Their ... Dumitru Gaspar Limited preview - 2005 |

Recent Advances in Operator Theory, Operator Algebras, and Their ... Dumitru Gaspar No preview available - 2005 |

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2004 Birkhäuser Verlag Advances and Applications asymptotic Banach space Banach-Lie algebra Bergman space bounded operator C∗-algebra Cc G commutator complex condition consider construction continuous converges Corollary cyclic vectors decomposition deﬁned Deﬁnition denote element equivalent exists exponential dichotomy ﬁnite ﬁrst ﬁxed fixed point algebra follows formula groupoid Haar measure Haar system Hardy space hence Hilbert space inclusion inequality integral invariant subspaces isomorphic kernel Lebesgue Lemma linear skew-product semiflow locally compact Math Mathematics Subject Classification matrix measure mild solution MN(C mnpmnp n-homogeneous norm notation obtain perturbation polynomials power bounded operator problem Proof Proposition prove quantum group representation respect result satisﬁes scalar Section sequence spectral stochastic subfactors subset suﬁiciently Theorem 2.1 Toeplitz operators topology trace trace class uniformly unitary von Neumann algebra weighted composition operator zero