## Journal of Operator Theory, Volumes 3-4National Institute for Scientific and Technical Creation, Department of Mathematics, 1980 - Operator theory |

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### Contents

STAMPFLI J G An extension of Scott Browns | 3 |

BASOR E HELTON J W A new proof of the Szego limit theore | 23 |

McENNIS B W Characteristic functions and dilatic | 87 |

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Amer analytic assume automorphism Banach space Borel set bounded operator C*-algebras closed commutative compact operators complete component consider contains continuous converges convex Corollary corresponding countable decomposition defined denote dense Department of Mathematics elements ergodic exact sequence exists Ext(X extension fact finite Foias follows formula Fredholm G-system given hence Hilbert space homomorphism hyperinvariant subspace hyponormal operators implies increst inequality infinite dimensional injective integral invariant subspace invertible irrational rotation isometry isomorphism Lebesgue measure Lemma linear span Math matrix Moreover multiplicity function norm normal operator Note nuclear obtain Operator Theory orthogonal Pearcy polynomial positive linear map projection proof of Theorem Proposition prove quasisimilar Remark representation result satisfies self-adjoint semi-Fredholm spectral picture spectrum subnormal operators subset Suppose Theorem 3.1 Toeplitz operators topology trace class trivial unit unitarily equivalent unitary operator vectors Voiculescu zero