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Modern Operator Theory and Applications

The Igor Borisovich Simonenko Anniversary Volume

  • Book
  • © 2007

Overview

Editors:
  1. Yakob M. Erusalimsky

    1. Mechanical-Mathematics Department, Rostov State University, Rostov-on-Don, Russia

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  2. Israel Gohberg

    1. School of Mathematical Sciences, Raymond and Beverly Sackler, Faculty of Exact Sciences, Tel Aviv University, Ramat Aviv, Israel

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  3. Sergei M. Grudsky

    1. Departamento de Matemáticas, CINVESTAV, Mexico, D.F., Mexico

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  4. Vladimir Rabinovich

    1. Instituto Politecnico Nacional, ESIME Zacatenco, Mexico, D. F., Mexico

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  5. Nikolai Vasilevski

    1. Departamento de Matemáticas, CINVESTAV, Mexico, D.F., Mexico

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  • Contains new, up-to-date results on the very active area of modern operator theory
  • Presents a collection of papers on different areas of operator theory giving a clear concept of contemporary achievements in these areas, of profitable interrelations among them, and of some important applications
  • Contributions present the state of the art in the areas of operator theory originally initiated in pioneer works of I.B. Simonenko
  • Includes supplementary material: sn.pub/extras

Part of the book series: Operator Theory: Advances and Applications (OT, volume 170)

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Table of contents (14 chapters)

  1. Front Matter

    Pages i-vii
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  2. Introduction

    Pages 1-26

  3. Coefficients Averaging for Functional Operators Generated by Irrational Rotation

    • A. B. Antonevich
    Pages 27-41

  4. On the Verification of Linear Equations and the Identification of the Toeplitz-plus-Hankel Structure

    • Albrecht Böttcher, David Wenzel
    Pages 43-51

  5. Asymmetric Factorizations of Matrix Functions on the Real Line

    • L. P. Castro, R. Duduchava, F. -O. Speck
    Pages 53-74

  6. On the Structure of the Square of a C 0(1) Operator

    • Ronald G. Douglas, Ciprian Foias
    Pages 75-84

  7. On the Connection Between the Indices of a Block Operator Matrix and of its Determinant

    • Israel Feldman, Nahum Krupnik, Alexander Markus
    Pages 85-100

  8. Quasi-commutativity of Entire Matrix Functions and the Continuous Analogue of the Resultant

    • I. Gohberg, M. A. Kaashoek, L. Lerer
    Pages 101-106

  9. Double Barrier Options Under Lévy Processes

    • Sergei M. Grudsky
    Pages 107-135

  10. A Local-trajectory Method and Isomorphism Theorems for Nonlocal C*-algebras

    • Yu. I. Karlovich
    Pages 137-166

  11. Boundedness in Lebesgue Spaces with Variable Exponent of the Cauchy Singular Operator on Carleson Curves

    • Vakhtang Kokilashvili, Vakhtang Paatashvili, Stefan Samko
    Pages 167-186

  12. On the Averaging Method for the Problem of Heat Convection in the Field of Highly-Oscillating Forces

    • V. B. Levenshtam
    Pages 187-203

  13. Finite Sections of Band-dominated Operators with Almost Periodic Coefficients

    • Vladimir S. Rabinovich, Steffen Roch, Bernd Silbermann
    Pages 205-228

  14. On the Toeplitz Operators with Piecewise Continuous Symbols on the Bergman Space

    • N. Vasilevski
    Pages 229-248

  15. Asymptotics of a Class of Operator Determinants

    • Harold Widom
    Pages 249-256
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Keywords

About this book

(jointly with V.P. Zakharyuta and V.I. Yudovich), including a calculation of the capacity of condensers of complex form and dielectric materials with complex structure. In 1967, at the age of 32, six years after he defended his Ph.D. thesis, I.B. - monenko defended his thesis for a degree of Doctor of Science. In this thesis, entitled “Operators of local type and some other problems of the theory of linear operators,” he sharply turned towards the wide usage of the general methods of functional analysis. In 1971 professor I.B. Simonenko became the head of the - merical Mathematics Chair. The following year this chair was split into two; I.B. became the head of one of them, the Chair of Algebra and Discrete Mathematics. The Chair of Algebra and Discrete Mathematics can be rightfully called the Chair of I.B. Simonenko. Here he worked together with his colleagues, students, and the students of his students. Here he fully developed his teaching talent. He lectured on “Algebra and geometry,” “Mathematical logic,” “Discrete mathem- ics,” and “Mathematical analysis”.

Editors and Affiliations

  • Mechanical-Mathematics Department, Rostov State University, Rostov-on-Don, Russia

    Yakob M. Erusalimsky

  • School of Mathematical Sciences, Raymond and Beverly Sackler, Faculty of Exact Sciences, Tel Aviv University, Ramat Aviv, Israel

    Israel Gohberg

  • Departamento de Matemáticas, CINVESTAV, Mexico, D.F., Mexico

    Sergei M. Grudsky, Nikolai Vasilevski

  • Instituto Politecnico Nacional, ESIME Zacatenco, Mexico, D. F., Mexico

    Vladimir Rabinovich

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