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Operator Theory, Operator Algebras, and Matrix Theory

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  • © 2018

Overview

Editors:
  1. Carlos André

    1. Departamento de Matemática, Faculdade de Ciências, Universidade de Lisboa, Lisboa, Portugal

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  2. M. Amélia Bastos

    1. Departamento de Matemática, Instituto Superior Técnico, Universidade de Lisboa, Lisboa, Portugal

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  3. Alexei Yu. Karlovich

    1. Departamento de Matemática, Faculdade de Ciências e Tecnologia, Universidade Nova de Lisboa, Lisboa, Portugal

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  4. Bernd Silbermann

    1. Fakultät für Mathematik, Technische Universität Chemnitz, Chemnitz, Germany

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  5. Ion Zaballa

    1. Departamento de Matemática Aplicada y EIO, Universidad del País Vasco (UPV/EHU), Leioa, Spain

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  • Presents papers that establish a connection between three related areas in Operator Theory
  • Establishes recent research results of some of the most well reputed researchers in the area
  • Includes both survey and research papers

Part of the book series: Operator Theory: Advances and Applications (OT, volume 267)

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Table of contents (17 chapters)

  1. Front Matter

    Pages i-viii
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  2. Indecomposable Supercharacters of the Infinite Unitriangular Group

    • Carlos A. M. André, Filipe Gomes, Jocelyn Lochon
    Pages 1-24

  3. A C∗-algebra of Singular Integral Operators with Shifts and Piecewise Quasicontinuous Coefficients

    • M. Amélia Bastos, Cláudio A. Fernandes, Yuri I. Karlovich
    Pages 25-64

  4. Non-Hermitian Quantum Mechanics of Bosonic Operators

    • Natália Bebiano, João da Providência, J. P. da Providência
    Pages 65-78

  5. Fredholm Conditions on Non-compact Manifolds: Theory and Examples

    • Catarina Carvalho, Victor Nistor, Yu Qiao
    Pages 79-122

  6. Statistical e-Convergence of Bögel-Type Continuous Functions

    • Kamil Demirci, Sevda Orhan
    Pages 123-130

  7. Weighted Statistical Relative Approximation by Positive Linear Operators

    • Kamil Demirci, Sevda Orhan, Burçak Kolay
    Pages 131-139

  8. Descriptor Systems Under Feedback and Output Injection

    • Marija Dodig
    Pages 141-166

  9. Hermitian Geometry on Resolvent Set

    • Ronald G. Douglas, Rongwei Yang
    Pages 167-183

  10. Spectral Algorithms for MRA Orthonormal Wavelets

    • F. Gómez-Cubillo, S. Villullas
    Pages 185-198

  11. The NIEP

    • Charles R. Johnson, Carlos Marijuán, Pietro Paparella, Miriam Pisonero
    Pages 199-220

  12. Semi-Fredholmness of Weighted Singular Integral Operators with Shifts and Slowly Oscillating Data

    • Alexei Yu. Karlovich, Yuri I. Karlovich, Amarino B. Lebre
    Pages 221-246

  13. Factorization of Singular Integral Operators with a Carleman Backward Shift: The Vector Case

    • Amarino B. Lebre, Juan S. Rodríguez
    Pages 247-259

  14. Extension-Restriction Theorems for Algebras of Approximation Sequences

    • Steffen Roch
    Pages 261-284

  15. Toeplitz and Hankel Algebras – Axiomatic and Asymptotic Aspects

    • Steffen Roch, Bernd Silbermann
    Pages 285-315

  16. More Than 40 Years of Algebraic Techniques in Numerical Analysis

    • Pedro A. Santos
    Pages 317-358

  17. Linearizability of Multi-Control Systems of the Class C1 by Additive Change of Controls

    • K. V. Sklyar, G. M. Sklyar, S. Yu. Ignatovich
    Pages 359-370

  18. A Distance Formula Related to a Family of Projections Orthogonal to Their Symmetries

    • Ilya M. Spitkovsky
    Pages 371-376
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Keywords

About this book

This book consists of invited survey articles and research papers in the scientific areas of the “International Workshop on Operator Algebras, Operator Theory and Applications,” which was held in Lisbon in July 2016. Reflecting recent developments in the field of algebras of operators, operator theory and matrix theory, it particularly focuses on groupoid algebras and Fredholm conditions, algebras of approximation sequences, C* algebras of convolution type operators, index theorems, spectrum and numerical range of operators, extreme supercharacters of infinite groups, quantum dynamics and operator algebras, and inverse eigenvalue problems.

Establishing bridges between the three related areas of operator algebras, operator theory, and matrix theory, the book is aimed at researchers and graduate students who use results from these areas.

 

Editors and Affiliations

  • Departamento de Matemática, Faculdade de Ciências, Universidade de Lisboa, Lisboa, Portugal

    Carlos André

  • Departamento de Matemática, Instituto Superior Técnico, Universidade de Lisboa, Lisboa, Portugal

    M. Amélia Bastos

  • Departamento de Matemática, Faculdade de Ciências e Tecnologia, Universidade Nova de Lisboa, Lisboa, Portugal

    Alexei Yu. Karlovich

  • Fakultät für Mathematik, Technische Universität Chemnitz, Chemnitz, Germany

    Bernd Silbermann

  • Departamento de Matemática Aplicada y EIO, Universidad del País Vasco (UPV/EHU), Leioa, Spain

    Ion Zaballa

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