Linear Operators in Function Spaces

1. Front Matter

   Pages 1-16

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2. Asymptotic Properties for Positive and Toeplitz Matrices and Operators

   • V. M. Adamjan

   Pages 17-38

3. Multicyclic Systems of Commuting Operators

   • Ernst Albrecht, Peter Maria Wirtz

   Pages 39-61

4. Regular J-Inner Matrix-Functions and Related Continuation Problems

   • D. Z. Arov

   Pages 63-87

5. Spectral Analysis for Simply Characteristic Operators by Mourre’s Method. I

   • Gruia Arsu

   Pages 89-99

6. Noncommutative Uniform Algebras

   • Victor Arzumanian, Suren Grigorian

   Pages 101-109

7. Operator Theory in Krein Spaces and Operator Pencils

   • T. Ya. Azizov

   Pages 111-121

8. Extensions of Groups and Simple C*-Algebras

   • Florin Boca, Viorel Nit̹ică

   Pages 123-130

9. The Krein Space (ΦH2)┴ and Coefficients of Analytic Functions

   • Douglas N. Clark

   Pages 131-140

10. Completions and Extensions

    • Tiberiu Constantinescu

    Pages 141-150

11. Operator Factorizations and Quasi-Similarity Orbits

    • Raúl E. Curto, Lawrence A. Fialkow

    Pages 151-164

12. Multiplication Operators on Bergman Spaces are Reflexive

    • Jörg Eschmeier

    Pages 165-184

13. Uniform Boundedness of the Energy for Time-Periodic Potentials

    • Vladimir S. Georgiev

    Pages 185-194

14. Homology in Banach and Polynormed Algebras: Some Results and Problems

    • A. Ya. Helemskii

    Pages 195-208

15. Large Analytic Functions

    • Henry Helson

    Pages 209-216

16. Toeplitz Operators on the Segal — Bargmann Space of Infinitely Many Variables

    • J. Janas, K. Rudol

    Pages 217-228

17. A Note on Perturbations of Selfadjoint Operators in Krein Spaces

    • Peter Jonas

    Pages 229-235

18. Projective Representations of Compact Groups in C*-Algebras

    • Mircea Martin

    Pages 237-253

19. On the General Stable Rank for Pairs

    • Gabriel Nagy

    Pages 255-261

20. Wiener-Hopf Operators on the Positive Semigroup of a Heisenberg Group

    • Alexandru Nica

    Pages 263-278

The Operator Theory conferences, organized by the Department of Mathematics of INCREST and the Department of Mathematics of the University of Timi~oara, are conceived as a means to promote cooperation and exchange of information between specialists in all areas of operator theory. This book comprises carefully selected papers on theory of linear operators and related fields. Original results of new research in fast developing areas are included. Several contributed papers focus on the action of linear operators in various function spaces. Recent advances in spectral theory and related topics, operators in indefinite metric spaces, dual algebras and the invariant subspace problem, operator algebras and group representations as well as applications to mathematical physics are presented. The research contacts of the Department of :viathematics of INCREST with the National Committee for Science and Technology of Romania provided 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 contributed 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. Camelia Minculescu, Iren Nemethi and Rodica Stoenescu dealt with the difficult task of typing the whole manuscript using a Rank Xerox 860 word processor; we thank them for this exellent job.

• C*-algebra
• analytic function
• differential equation
• holomorphic function
• metric space
• operator
• operator algebra
• operator theory
• perturbation
• perturbation theory
• spectral theory

• Department of Mathematics, INCREST, Bucharest, Romania

  H. Helson, B. Sz.-Nagy, F.-H. Vasilescu

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