## Journal of Operator Theory, Volume 52, Issue 1National Institute for Scientific and Technical Creation, Department of Mathematics, 2004 - Operator theory |

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### Contents

A decomposition theorem for generators | 21 |

CHAN K C SANDERS R A weakly hypercyclic operator that | 39 |

LINDIARNI J RAEBURN I Partialisometric crossed products | 61 |

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### Common terms and phrases

Amer analytic functions Banach space Bergman spaces bilateral weighted shift bimodules BMOAso bounded linear operator bounded operator boundedness C*-algebra C*-tensor category coisometric module map commutative completely continuous converges Corollary covariant partial-isometric representation crossed products denote duality pairing End(X exists finite Fock space follows Frobenius duality Full Fock space given Hankel operators Hardy spaces hence Hilbert module Hilbert space implies integral invariant subspace invertible involutive isometry isomorphic L-module map Lemma Math monoidal morphism multiplication Nevanlinna-Pick nonzero norm dense norm hypercyclic numbers Operator Theory orbit Poisson kernel projective resolutions proof of Theorem properties Proposition prove result rigidity pair satisfies scalar product Section semigroup sequence space H span spectrum strongly orthogonally projective submodule subquotient subset Suppose symbols Theorem 3.2 Toeplitz algebras Toeplitz operators unitarily equivalent unitary We(T weakly compact weakly hypercyclic operator weakly hypercyclic vector weighted composition operators