Advances in Invariant Subspaces and Other Results of Operator Theory

1. Front Matter

   Pages 1-14

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2. Some Topics in the Theory of Decomposable Operators

   • Ernst Albrecht, Jörg Eschmeier, Michael M. Neumann

   Pages 15-34

3. Korovkin Closures in Banach Algebras

   • Francesco Altomare

   Pages 35-42

4. On the Theory of the Class \({A_{{\aleph _0}}}\) with Applications to Invariant Subspaces and the Bergman Shift Operator

   • C. A postol, H. Bercovici, C. Foiaş, C. Pearcy

   Pages 43-49

5. Examples of Chains of Invariant Subspaces

   • José Barría, Kenneth R. Davidson

   Pages 51-54

6. Isometric Dilations of Commuting Contractions. IV

   • Zoia Ceauşescu, Ion Suciu

   Pages 55-77

7. Recent Results on Reflexivity of Operators and Algebras of Operators

   • Bernard Chevreau

   Pages 79-85

8. Schur Analysis for Matrices with a Finite Number of Negative Squares

   • Tiberiu Constantinescu

   Pages 87-108

9. Uniform Algebras, Hankel Operators and Invariant Subspaces

   • Raul E. Curto, Paul S. Muhly, Takahiko Nakazit

   Pages 109-119

10. Contractions Géneŕiques

    • Jean Dazord

    Pages 121-124

11. Hilbert Modules over Function Algebras

    • Ronald G. Douglas

    Pages 125-139

12. Differential Equation of an Inner Function. II

    • Henry Helson

    Pages 141-149

13. On a Class of Unitary Operators in Krein Space

    • Peter Jonas

    Pages 151-172

14. Naimark Dilations, State-Space Generators and Transmission Lines

    • T. Kailath, A. M. Bruckstein

    Pages 173-186

15. Contractions being Weakly Similar to Unitaries

    • László Kérchy

    Pages 187-200

16. A Characterization of Generalized Zeros of Negative Type of Functions of the Class Nκ

    • Heinz Langer

    Pages 201-212

17. Skew-Symmetric Operators and Isometries on a Real Banach Space with a Hyperorthogonal Basis

    • Peter Legǐsa

    Pages 213-218

18. On the Operator Equation ax + (ax)* − λx = b

    • Bojan Magajna

    Pages 219-222

19. On the Inverse Problem of a Dissipative Scattering Theory. I

    • Hagen Neidhardt

    Pages 223-238

20. Some Spectral Properties of an Operator

    • Matjaž Omladič

    Pages 239-248

The annual Operator Theory conferences, organized by the Department of Mathematics of INC REST and the University of Timi?oara, are intended to promote cooperation and exchange of information between specialists in all areas of operator theory. This volume consists of papers contributed by the participants of the 1984 Conference. They reflect a great variety of topics, dealt with by the modern operator theory, including very recent advances in the invariant subspace problem, subalgebras of operator algebras, hyponormal, Hankel and other special classes of operators, spectral decompositions, aspects of dilation theory and so on. The research contracts of the Department of Mathematics of INCREST with the National Council for Science and Technology of Romania provided the means for developing the research activity in mathematics; they represent the generous framework of these meetings, too. It is our pleasure to acknowledge the financial support of UNESCO which also contibuted to the success of this meeting. We are indebted to Professor Israel Gohberg for including these Proceedings in the OT Series and for valuable advice in the editing process. Birkhauser Verlag was very cooperative in publishing this volume. Mariana Bota, Camelia Minculescu and Rodica Stoenescu dealt with the difficult task of typing the whole manuscript using a Rank Xerox 860 word processor; we thank them for the excellent job they did.

• algebra
• analytic function
• Banach space
• cohomology
• differential operator
• distribution
• matrices
• operator algebra
• operator theory
• pseudodifferential operators

• Department of Mathematics, INCREST, Bucharest, Romania

  R. G. Douglas, C. M. Pearcy, B. Sz.-Nagy, F.-H. Vasilescu, Dan Voiculescu

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