Spectral Flow A Functional Analytic and Index-Theoretic Approach.

The series de Gruyter Studies in Mathematics was founded ca. 35 years ago by the late Professor Heinz Bauer and Professor Peter Gabriel. The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods, and their applications. Apart from covering i...

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Detalles Bibliográficos
Autor principal: Doll, Nora
Otros Autores: Schulz-Baldes, Hermann, Waterstraat, Nils
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin/Boston : Walter de Gruyter GmbH, 2023.
Colección:De Gruyter Studies in Mathematics Series.
Temas:
Indextheorie von Fredholm-Paaren.
Oszillationstheorie für Jacobi-Operatoren und Streutheorie.
Selbstadjungierte Fredholm-Operatoren.
Variationsbifurkationstheorie.
MATHEMATICS / Differential Equations / General.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Intro
  • Preface
  • Acknowledgment
  • Contents
  • 1 Spectral flow in finite dimension
  • 2 Applications of finite-dimensional spectral flow
  • 3 Bounded Fredholm operators
  • 4 Spectral flow for bounded self-adjoint Fredholm operators
  • 5 Fredholm pairs and their index
  • 6 Unbounded Fredholm operators
  • 7 Spectral flow for unbounded self-adjoint Fredholm operators
  • 8 Homotopy theory of Fredholm operators
  • 9 Bott-Maslov index via spectral flow
  • 10 Index pairings and spectral localizer
  • 11 Spectral flow in semifinite von Neumann algebras
  • 12 Spectral flow in bifurcation theory
  • A Collection of technical elements
  • Acronyms and notations
  • Bibliography
  • Index

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